Zad.1 Rozwiąż równania. a)3x-5=4+2x b)-5x+10=-2x-8 c)-5x-17=-9x+3 d)7x+14=-5x-22 e)2x-4+5x=x+2 f)-3+2x-6=3-4x g)7x+2=5+3x+9 h)-5x+12+x=2x-12 Zad.2 Rozwiąż równania. a)2(x-3)+3(4-x)=5 b)3(x-4)-2(2x-5)=-4 c)2(x+4)-5(x+3)=2 d)-2(x+3)+4(2x+3)=-6

Zad.1 Rozwiąż równania. a) 3x-5= 4+2x 3x - 2x = 4 + 5 x = 9 b) -5x+10= -2x-8  - 5x + 2x = - 8 - 10 - 3x = - 18 x = 6 c) -5x-17= -9x+3 - 5x + 9x = 3 + 17 4x = 20 x= 5 d) 7x+14= -5x-22 7x + 5x = - 22 - 14 12x = - 36 x = - 3 e) 2x-4+5x=x+2 2x + 5x - x = 2 + 4 6x = 6 x = 1 f) -3+2x-6=3-4x 2x + 4x = 3 + 3 + 6 6x = 12 x = 2 g) 7x+2=5+3x+9 7x - 3x = 5 + 9 - 2 4x = 12 x = 3 h) -5x+12+x=2x-12 - 5x - x - 2x = - 12 - 12 - 8 x = - 24 x = 3 Zad.2 Rozwiąż równania. a) 2(x-3)+3(4-x)=5 2x - 6 + 12 - 3x = 5 2x - 3x = 5 + 6 - 12 - x = - 1 x = 1 b) 3(x-4)-2(2x-5)= - 4 3x - 12 - 4x + 10 = - 4 - x = - 4 + 12 - 10 -x = - 2 x = 2 c) 2(x+4)-5(x+3)=2 2x + 8 - 5x - 15 = 2 - 3x = 2 + 15 - 8 - 3x = 9 x = - 3 d) -2(x+3)+4(2x+3)= - 6 -2x - 6 + 8x + 12 = - 6 6x = - 6 + 6 - 12 6x = - 12 x = - 2 Zad.3 Rozwiąż równania. a) (4-2x)-(x+3)=(x-5)+(-3-x) 4 - 2x - x - 3 = x - 5 - 3 - x - 2x - x - x + x = - 5 - 3 - 4 + 3 - 3x = - 9 x = 3 b) (3-2x)+(3x+4)= - (3-2x)+(5x+4) 3 - 2x + 3x + 4= - 3 + 2x + 5x + 4 - 2x + 3x - 2x - 5x = - 3 + 4 - 3 - 4 - 6x = - 6 x = 1 c) -(x+3)+(2x-1)=(1+4x)+(3+x) -x - 3 + 2x - 1 = 1 + 4x + 3 + x - x + 2x - 4x - x = 1 + 3 + 3 + 1 - 4x = 8 x = -2 d) -(x+3)-(2x+8)=(-3-2x)+(2x+1) - x - 3 - 2x - 8 = - 3 - 2x + 2x + 1 - x - 2x + 2x - 2x = - 3 + 1 + 3 + 8 - 3x = 9 x = - 3 Zad.4 Rozwiąż równania. a) (3-2x)-(x+4)-(2x+5)=(3x-4)-(5x+7) 3 - 2x - x - 4 - 2x - 5 = 3x - 4 - 5x - 7 - 2x - x - 2x - 3x + 5x = - 4 - 7 - 3 + 4 + 5 - 3x = - 6 x =  2 b) (4-x)-(2x+3)+(x-4)= - (2x-3)-(x+7) 4 - x - 2x - 3 + x - 4 = - 2x + 3 - x - 7 - x - 2x + x + 2x + x = 3 - 7 - 4 + 3 + 4 x = - 1 c) (4x-5)+(x-7)-(2x-8)=(-3x+4)-(x-6) 4x - 5 + x - 7 - 2x + 8 = - 3x + 4 - x + 6 4x + x - 2x + 3x + x = 4 + 6 + 5 + 7 - 8 7 x = 14 x = 2 d) -(4-2x)-(2x+4)=(3x-1)+(2x-5)-(7-3x) - 4 + 2x - 2x - 4 = 3x - 1 + 2x - 5 - 7 + 3x 2x - 2x - 3x - 2x - 3x = - 1 - 5 - 7 + 4 + 4 - 8x = - 5 x = 5/8 x = 0,625 Zad.5 Rozwiąż równania. a) 3(x-4)-4(2x-7)=2(x+5) 3x - 12 - 8x + 28 = 2x + 10 3x - 8x - 2x = 10 + 12 - 28 - 7x = - 6 x = 6/7 b) 2(2x-3)+3(4-x)= - (x+1) 4x -  6 + 12 - 3x = - x - 1 4x - 3x + x = - 1+ 6 - 12 2x = - 7 x = - 7/2 x = - 3  1/2 x = - 3,5 c) 2(x-3)-4(3+x)= - 3(x+2)+(2x-1) 2x - 6 + 12 - 4x = - 3x - 6 + 2x - 1 2x - 4x + 3x - 2x = - 6 - 1 + 6 - 12 - x = - 13 x = 13 d) 6(x+1)+3(2-x)=2(2x-1)-(4-x) 6x + 6 + 6 - 3x = 4x - 2 - 4 + x 6x - 3x - 4x - x = - 2 - 4 - 6 - 6 - 2x = - 18 x = 9 Zad.6 Rozwiąż równania. a) [latex] frac{x+ 5}{10} + frac{2x+5}{2} = frac{2 -x}{5} [/latex] ( obie strony mnożę przez 10) x + 5 + 5( 2x + 5) = 2(2 - x) x + 5 + 10x + 25 = 4 - 2x x + 10x + 2x = 4 - 5 - 25 13x = - 26 x = - 2

Zad 1 a). 3x-5=4+2x 3x-2x=4+5 x=9 b). -5x+10= -2x-8 -5x+2x= -8-10 -3x= -18 /:(-3) x=6 c). -5x-17= -9x+3 -5x+9x=3+17 4x=20 / : 4 x=5 d). 7x+14= -5x-22 7x+5x= -22-14 12x= -36 / : 12 x= -3 e). 2x-4+5x=x+2 7x-x=2+4 6x=6 / : 6 x=1 f). -3+2x-6=3-4x 2x+4x=3+6+3 6x=12 / : 6 x=2 g). 7x+2=5+3x+9 7x-3x=14-2 4x=12 / : 4 x=3 h). -5x+12+x=2x-12 -4x-2x= -12-12 -6x= -24 / :(-6) x=4 Zad 2 a). 2(x-3)+3(4-x)=5 2x-6+12-3x=5 -x+6=5 -x=5-6 -x= -1 / ·(-1) x=1 b). 3(x-4)-2(2x-5)= -4 3x-12-4x+10= -4 -x-2= -4 -x= -4+2 -x= -2 / ·(-1) x=2 c). 2(x+4)-5(x+3)=2 2x+8-5x-15=2 -3x-7=2 -3x=2+7 -3x=9 / :(-3) x= -3 d). -2(x+3)+4(2x+3)= -6 -2x-6+8x+12= -6 6x+6= -6 6x= -6-6 6x= -12 / : 6 x= -2 Zad 3 a). (4-2x)-(x+3)=(x-5)+(-3-x) 4-2x-x-3=x-5-3-x -3x+1= -8 -3x= -8-1 -3x= -9 / :(-3) x=3 b). (3-2x)+(3x+4)= -(3-2x)+(5x+4) 3-2x+3x+4= -3+2x+5x+4 x+7=7x+1 x-7x=1-7 -6x= -6 / :(-6) x=1 c). -(x+3)+(2x-1)=(1+4x)+(3+x) -x-3+2x-1=1+4x+3+x x-4=5x+4 x-5x=4+4 -4x=8 / :(-4) x= -2 d). -(x+3)-(2x+8)=(-3-2x)+(2x+1) -x-3-2x-8= -3-2x+2x+1 -3x-11= -2 -3x= -2+11 -3x=9 / :(-3) x= -3 Zad4 a). (3-2x)-(x+4)-(2x+5)=(3x-4)-(5x+7) 3-2x-x-4-2x-5=3x-4-5x-7 -5x-6= -2x-11 -5x+2x= -11+6 -3x= -5 / :(-30 x=5/3 x=1 i 2/3 b). (4-x)-(2x+3)+(x-4)= -(2x-3)-(x+7) 4-x-2x-3+x-4= -2x+3-x-7 -2x-3= -3x-4 -2x+3x= -4+3 x= -1 c). (4x-5)+(x-7)-(2x-8)=(-3x+4)-(x-6) 4x-5+x-7-2x+8= -3x+4-x+6 3x-4= -4x+10 3x+4x=10+4 7x=14 / : 7 x=2 d). -(4-2x)-(2x+4)=(3x-1)+(2x-5)-(7-3x) -4+2x-2x-4=3x-1+2x-5-7+3x -8=8x-13 -8x= -13+8 -8x= -5 / :(-8) x=5/8 Zad 5 a). 3(x-4)-4(2x-7)=2(x+5) 3x-12-8x+28=2x+10 -5x+16=2x+10 -5x-2x=10-16 -7x= -6 / :(-7) x=6/7 b). 2(2x-3)+3(4-x)= -(x+1) 4x-6+12-3x= -x-1 x+6= -x-1 x+x= -1-6 2x= -7 / : 2 x= -7/2 x= -3 i 1/2 c). 2(x-3)-4(3+x)= -3(x+2)+(2x-1) 2x-6-12-4x= -3x-6+2x-1 -2x-18= -x-7 -2x+x= -7+18 -x=11 / ·(-1) x= -11 d). 6(x+1)+3(2-x)=2(2x-1)-(4-x) 6x+6+6-3x=4x-2-4+x 3x+12=5x-6 3x-5x= -6-12 -2x= -18 / :(-2) x=9 Zad 6 [latex] frac{x+5}{10} + frac{2x+5}{2} = frac{2-x}{5} /*10 \ \ x+5+5(2x+5)=2(2-x) \ \ x+5+10x+25=4-2x \ \11x+30=4-2x \ \ 11x+2x=4-30 \ \ 13x=-26/:13 \ \ x=-2[/latex]