12-(x-4)=5x+2(x+16)

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Solution for 12-(x-4)=5x+2(x+16) equation: 


Simplifying
12 + -1(x + -4) = 5x + 2(x + 16)

Reorder the terms:
12 + -1(-4 + x) = 5x + 2(x + 16)
12 + (-4 * -1 + x * -1) = 5x + 2(x + 16)
12 + (4 + -1x) = 5x + 2(x + 16)

Combine like terms: 12 + 4 = 16
16 + -1x = 5x + 2(x + 16)

Reorder the terms:
16 + -1x = 5x + 2(16 + x)
16 + -1x = 5x + (16 * 2 + x * 2)
16 + -1x = 5x + (32 + 2x)

Reorder the terms:
16 + -1x = 32 + 5x + 2x

Combine like terms: 5x + 2x = 7x
16 + -1x = 32 + 7x

Solving
16 + -1x = 32 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
16 + -1x + -7x = 32 + 7x + -7x

Combine like terms: -1x + -7x = -8x
16 + -8x = 32 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -8x = 32 + 0
16 + -8x = 32

Add '-16' to each side of the equation.
16 + -16 + -8x = 32 + -16

Combine like terms: 16 + -16 = 0
0 + -8x = 32 + -16
-8x = 32 + -16

Combine like terms: 32 + -16 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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