4(x+4)=5(x-8)

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Solution for 4(x+4)=5(x-8) equation: 


Simplifying
4(x + 4) = 5(x + -8)

Reorder the terms:
4(4 + x) = 5(x + -8)
(4 * 4 + x * 4) = 5(x + -8)
(16 + 4x) = 5(x + -8)

Reorder the terms:
16 + 4x = 5(-8 + x)
16 + 4x = (-8 * 5 + x * 5)
16 + 4x = (-40 + 5x)

Solving
16 + 4x = -40 + 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 = -40 + 5x + -5x

Combine like terms: 4x + -5x = -1x
16 + -1x = -40 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -1x = -40 + 0
16 + -1x = -40

Add '-16' to each side of the equation.
16 + -16 + -1x = -40 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = -40 + -16
-1x = -40 + -16

Combine like terms: -40 + -16 = -56
-1x = -56

Divide each side by '-1'.
x = 56

Simplifying
x = 56

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