.5(12-2x)=-2(10-8x)

Solution for .5(12-2x)=-2(10-8x) equation:

Simplifying
0.5(12 + -2x) = -2(10 + -8x)
(12 * 0.5 + -2x * 0.5) = -2(10 + -8x)
(6 + -1x) = -2(10 + -8x)
6 + -1x = (10 * -2 + -8x * -2)
6 + -1x = (-20 + 16x)

Solving
6 + -1x = -20 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
6 + -1x + -16x = -20 + 16x + -16x

Combine like terms: -1x + -16x = -17x
6 + -17x = -20 + 16x + -16x

Combine like terms: 16x + -16x = 0
6 + -17x = -20 + 0
6 + -17x = -20

Add '-6' to each side of the equation.
6 + -6 + -17x = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -17x = -20 + -6
-17x = -20 + -6

Combine like terms: -20 + -6 = -26
-17x = -26

Divide each side by '-17'.
x = 1.529411765

Simplifying
x = 1.529411765