a) 5*(x-1)+2x=2*(x+2)+6 5x - 5 + 2x = 2x + 4 + 6 7x - 5 = 2x + 10 7x - 2x = 10 + 5 5x = 15 [:5 x = 3 ....................................................... b) x + 4 - 5*(x-8) = x - 6 x + 4 - 5x + 40 = x - 6 -4x + 44 = x - 6 x + 4x = 44 + 6 5x = 50 [:5 x = 10 .......................................... c) 6x-(x+1)=7 6x - x - 1 = 7 5x - 1 = 7 5x = 7 + 1 [:5 x = 8/5 = 1 3/5 ............................... d) 2*(x-1) +3*(x-2)=7 2x - 2 + 3x - 6 = 7 5x - 8 = 7 5x = 7 + 8 5x = 15 [:5 x = 3 ..................................... e) 3*(x+2)+2*(2x-3 )= x-12 3x + 6 + 4x - 6 = x - 12 7x = x - 12 7x - x = - 12 [:6 x = -2 .......................................... f) -4*(x-5) - 2*(6+2x) = - (3x-4) -4*(x-5) - 2*(6 + 2x) = -1*(3x - 4) za minusem warto 1 dopisać -4x + 20 - 12 - 4x = - 3x + 4 - 8x + 8= - 3x + 4 8x - 3x = 8 - 4 5x = 4 [:5 x = 4/5 = 0,8 ................................................... g) 7x-2+3*(x-5)=8x-2*(5x-4) 7x - 2 + 3x - 15 = 8x - 10x + 8 10x - 17 = -2x + 8 10x + 2x = 8 + 17 12x = 25 [:12 x = 25/12 = 2 1/12
a) 5(x-1)+2x=2(x+2)+6 5x-5+2x=2x+4+6 7x-5=2x+4+6 7x-5=2x+10 7x=2x+10+5 7x=2x+15 7x-2x=15 5x=15 x=15/5 x=3 b) x+4-5(x-8)=x-6 4-59x-8)=-6 -5(x-8)=-6-4 -5(x-8)=-10 x-8=-10/-5 x-8=10/5 x-8=2 x=2+8 x=10 c) 6x-(x+1)=7 6x-x-1=7 5x-1=7 5x=7+1 5x=8 x=8/5 x=1 3/5 d) 2(x-1) +3(x-2)=7 2x-2+3x-6=7 5x-2-6=7 5x-8=7 5x=7+8 5x=15 x=15/5 x=3 e) 3(x+2)+2(2x-3)=x-12 3x+6+4x-6=x-12 7x+6-6=x-12 7x=x-12 7x-x=-12 6x=-12 x=-12/6 x=-2 f) -4(x-5)-2(6+2x)=-(3x-4) -4(x-5)-2(6+2x)=-3x+4 -4x+20-12-4x=-3x+4 -8x+20-12=-3x+4 -8x+8=-3x+4 8=-3x+4+8x 8=5x+4 8-4=5x 4=5x 4/5=x x=4/5 g) 7x-2+3(x-5)=8x-2(5x-4) 7x-2+3x-15=8x-10x+8 10x-2-15=8x-10x+8 10x-17=8x-10x+8 10x-17=-2x+8 10x=-2x+8+17 10x=-2x+25 10x+2x=25 12x=25 x=25/12 x=2 1/12
