16-9(x-8)=32-5(x-12)

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Solution for 16-9(x-8)=32-5(x-12) equation: 


Simplifying
16 + -9(x + -8) = 32 + -5(x + -12)

Reorder the terms:
16 + -9(-8 + x) = 32 + -5(x + -12)
16 + (-8 * -9 + x * -9) = 32 + -5(x + -12)
16 + (72 + -9x) = 32 + -5(x + -12)

Combine like terms: 16 + 72 = 88
88 + -9x = 32 + -5(x + -12)

Reorder the terms:
88 + -9x = 32 + -5(-12 + x)
88 + -9x = 32 + (-12 * -5 + x * -5)
88 + -9x = 32 + (60 + -5x)

Combine like terms: 32 + 60 = 92
88 + -9x = 92 + -5x

Solving
88 + -9x = 92 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
88 + -9x + 5x = 92 + -5x + 5x

Combine like terms: -9x + 5x = -4x
88 + -4x = 92 + -5x + 5x

Combine like terms: -5x + 5x = 0
88 + -4x = 92 + 0
88 + -4x = 92

Add '-88' to each side of the equation.
88 + -88 + -4x = 92 + -88

Combine like terms: 88 + -88 = 0
0 + -4x = 92 + -88
-4x = 92 + -88

Combine like terms: 92 + -88 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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