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

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Solution for 8x+4(4-x)=2x-16 equation: 


Simplifying
8x + 4(4 + -1x) = 2x + -16
8x + (4 * 4 + -1x * 4) = 2x + -16
8x + (16 + -4x) = 2x + -16

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

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

Reorder the terms:
16 + 4x = -16 + 2x

Solving
16 + 4x = -16 + 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 + 4x + -2x = -16 + 2x + -2x

Combine like terms: 4x + -2x = 2x
16 + 2x = -16 + 2x + -2x

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

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

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

Combine like terms: -16 + -16 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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