8x+2(8-4x)=2(x-4)

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Solution for 8x+2(8-4x)=2(x-4) equation:


Simplifying
8x + 2(8 + -4x) = 2(x + -4)
8x + (8 * 2 + -4x * 2) = 2(x + -4)
8x + (16 + -8x) = 2(x + -4)

Reorder the terms:
16 + 8x + -8x = 2(x + -4)

Combine like terms: 8x + -8x = 0
16 + 0 = 2(x + -4)
16 = 2(x + -4)

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

Solving
16 = -8 + 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.
16 + -2x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + -2x = -8 + 0
16 + -2x = -8

Add '-16' to each side of the equation.
16 + -16 + -2x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -8 + -16
-2x = -8 + -16

Combine like terms: -8 + -16 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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