.5(2x+12)=.25(8x-16)

Solution for .5(2x+12)=.25(8x-16) equation:

Simplifying
0.5(2x + 12) = 0.25(8x + -16)

Reorder the terms:
0.5(12 + 2x) = 0.25(8x + -16)
(12 * 0.5 + 2x * 0.5) = 0.25(8x + -16)
(6 + 1x) = 0.25(8x + -16)

Reorder the terms:
6 + 1x = 0.25(-16 + 8x)
6 + 1x = (-16 * 0.25 + 8x * 0.25)
6 + 1x = (-4 + 2x)

Solving
6 + 1x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 1x + -2x = -4 + 2x + -2x

Combine like terms: 1x + -2x = -1x
6 + -1x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -1x = -4 + 0
6 + -1x = -4

Add '-6' to each side of the equation.
6 + -6 + -1x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -4 + -6
-1x = -4 + -6

Combine like terms: -4 + -6 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10