3(2x-2)=6-(0.5-x)

Solution for 3(2x-2)=6-(0.5-x) equation:

Simplifying
3(2x + -2) = 6 + -1(0.5 + -1x)

Reorder the terms:
3(-2 + 2x) = 6 + -1(0.5 + -1x)
(-2 * 3 + 2x * 3) = 6 + -1(0.5 + -1x)
(-6 + 6x) = 6 + -1(0.5 + -1x)
-6 + 6x = 6 + (0.5 * -1 + -1x * -1)
-6 + 6x = 6 + (-0.5 + 1x)

Combine like terms: 6 + -0.5 = 5.5
-6 + 6x = 5.5 + 1x

Solving
-6 + 6x = 5.5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 6x + -1x = 5.5 + 1x + -1x

Combine like terms: 6x + -1x = 5x
-6 + 5x = 5.5 + 1x + -1x

Combine like terms: 1x + -1x = 0
-6 + 5x = 5.5 + 0
-6 + 5x = 5.5

Add '6' to each side of the equation.
-6 + 6 + 5x = 5.5 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 5.5 + 6
5x = 5.5 + 6

Combine like terms: 5.5 + 6 = 11.5
5x = 11.5

Divide each side by '5'.
x = 2.3

Simplifying
x = 2.3