a) 7-(3x+4)=(x+1)-(2x+4) 7 - 3x -4 = x +1 -2x - 4 3x +3 = -x -3 - 3x +x = -3 -3 - 2x = -6 x = (-6) : (-2) x = 3 b) x/2-3/4=7/8-x/4 /*8 4x -6 = 7 - 2x 4x +2x = 7 +6 6x = 13 x = 13/6 c) 5(3-x)+(x+3/2)=4x+5 15 - 5x + x + 3/2 = 4x +5 - 4x + 33/2 = 4x + 10/2 -4x -4x = 10/2 - 33/2 - 8x = - 23/2 x = (-23/2) : (-8) x = (-23/2) * (-1/8) x = 23/16 d) (2x+5)(x+1)-2=(1-x)(8-2x)+2x 2x² + 2x + 5x +5 - 2 = 8 -2x -8x + 2x² +2x 2x² + 7x + 3 = 2x² -8x +8 2x² + 7x -2x² +8x = 8 -3 15x = 5 x = 5 : 15 x = 1/3
a) 7-3x-4=x+1-2x-4 -3x-x+2x=1-4-7+4 -2x=-6 x=3 b) x/2+x/4=7/8+3/4 2x/4+x/4=7/8+6/8 3x/4=13/8 /:3/4 x=13/8×4/3 x=13/6=2 1/6 c)15-5x+x+3/2=4x+5 -5x+x-4x=5-15-3/2 -8x=-11 1/2 x=11 1/2/8 x=23/2×1/8 x=23/16 d)2X²+2x+5x+5-1=8-2x-8x+2x²+2x 2x²+2x+5x+2x+8x-2x²-2x=-5+1+8 15x=4 x=4/15