4(0.5+x)-2(1.5-2x)=7

Solution for 4(0.5+x)-2(1.5-2x)=7 equation:

Simplifying
4(0.5 + x) + -2(1.5 + -2x) = 7
(0.5 * 4 + x * 4) + -2(1.5 + -2x) = 7
(2 + 4x) + -2(1.5 + -2x) = 7
2 + 4x + (1.5 * -2 + -2x * -2) = 7
2 + 4x + (-3 + 4x) = 7

Reorder the terms:
2 + -3 + 4x + 4x = 7

Combine like terms: 2 + -3 = -1
-1 + 4x + 4x = 7

Combine like terms: 4x + 4x = 8x
-1 + 8x = 7

Solving
-1 + 8x = 7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 8x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + 8x = 7 + 1
8x = 7 + 1

Combine like terms: 7 + 1 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1