.5(4x+12)+6x=.25(4x-20)

Solution for .5(4x+12)+6x=.25(4x-20) equation:

Simplifying
0.5(4x + 12) + 6x = 0.25(4x + -20)

Reorder the terms:
0.5(12 + 4x) + 6x = 0.25(4x + -20)
(12 * 0.5 + 4x * 0.5) + 6x = 0.25(4x + -20)
(6 + 2x) + 6x = 0.25(4x + -20)

Combine like terms: 2x + 6x = 8x
6 + 8x = 0.25(4x + -20)

Reorder the terms:
6 + 8x = 0.25(-20 + 4x)
6 + 8x = (-20 * 0.25 + 4x * 0.25)
6 + 8x = (-5 + 1x)

Solving
6 + 8x = -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 + 8x + -1x = -5 + 1x + -1x

Combine like terms: 8x + -1x = 7x
6 + 7x = -5 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + 7x = -5 + 0
6 + 7x = -5

Add '-6' to each side of the equation.
6 + -6 + 7x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = -5 + -6
7x = -5 + -6

Combine like terms: -5 + -6 = -11
7x = -11

Divide each side by '7'.
x = -1.571428571

Simplifying
x = -1.571428571