Question

A) 7-(3x+4)=(x+1)-(2x+4)
b) x/2-3/4=7/8-x/4
c) 5(3-x)+(x+3/2)=4x+5
d) (2x+5)(x+1)-2=(1-x)(8-2x)+2x

Answer 1

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

Answer 2

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