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

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


Simplifying
4(2 + -2x) = 5(x + 12)
(2 * 4 + -2x * 4) = 5(x + 12)
(8 + -8x) = 5(x + 12)

Reorder the terms:
8 + -8x = 5(12 + x)
8 + -8x = (12 * 5 + x * 5)
8 + -8x = (60 + 5x)

Solving
8 + -8x = 60 + 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.
8 + -8x + -5x = 60 + 5x + -5x

Combine like terms: -8x + -5x = -13x
8 + -13x = 60 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -13x = 60 + 0
8 + -13x = 60

Add '-8' to each side of the equation.
8 + -8 + -13x = 60 + -8

Combine like terms: 8 + -8 = 0
0 + -13x = 60 + -8
-13x = 60 + -8

Combine like terms: 60 + -8 = 52
-13x = 52

Divide each side by '-13'.
x = -4

Simplifying
x = -4

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