4(x+4)=5(x-6)+32

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Solution for 4(x+4)=5(x-6)+32 equation: 


Simplifying
4(x + 4) = 5(x + -6) + 32

Reorder the terms:
4(4 + x) = 5(x + -6) + 32
(4 * 4 + x * 4) = 5(x + -6) + 32
(16 + 4x) = 5(x + -6) + 32

Reorder the terms:
16 + 4x = 5(-6 + x) + 32
16 + 4x = (-6 * 5 + x * 5) + 32
16 + 4x = (-30 + 5x) + 32

Reorder the terms:
16 + 4x = -30 + 32 + 5x

Combine like terms: -30 + 32 = 2
16 + 4x = 2 + 5x

Solving
16 + 4x = 2 + 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.
16 + 4x + -5x = 2 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
16 + -1x = 2 + 0
16 + -1x = 2

Add '-16' to each side of the equation.
16 + -16 + -1x = 2 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 2 + -16
-1x = 2 + -16

Combine like terms: 2 + -16 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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