Answer:
A). x=3/4
Explanation:
2(6-2x)-2x=2(5+x)-4
Rearrange terms,
2(6-2x)-2x=2(5+x)-4
2(-2x+6)-2x=2(5+x)-4
Distribute,
2(-2x+6)-2x=2(5+x)-4
-4x+12-2x=2(5+x)-4
Combine like terms,
-4x+12-2x=2(5+x)-4
-6x+12=2(5+x)-4
Rearrange terms,
-6x+12=2(5+x)-4
-6x+12=2(x+5)-4
Distribute,
-6x+12=2(x+5)-4
-6x+12=2x+10-4
Subtract the numbers,
-6x+12=2x+10-4
-6x+12=2x+6
Subtract 12 from both sides,
-6x+12=2x+6
-6x+12-12=2x+6-12
-6x=2x+6-12
-6x=2x-6
Subtract 2x from both sides,
-6x=2x-6
-6x-2x=2x-6-2x
-8x=2x-6-2x
-8x=-6
Divide both sides by the same factor ( -8),
-8x/-8=-6/-8
x=-6/-8
x=3/4