4(x+5)+8=5(x-12)

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Solution for 4(x+5)+8=5(x-12) equation:


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

Reorder the terms:
4(5 + x) + 8 = 5(x + -12)
(5 * 4 + x * 4) + 8 = 5(x + -12)
(20 + 4x) + 8 = 5(x + -12)

Reorder the terms:
20 + 8 + 4x = 5(x + -12)

Combine like terms: 20 + 8 = 28
28 + 4x = 5(x + -12)

Reorder the terms:
28 + 4x = 5(-12 + x)
28 + 4x = (-12 * 5 + x * 5)
28 + 4x = (-60 + 5x)

Solving
28 + 4x = -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.
28 + 4x + -5x = -60 + 5x + -5x

Combine like terms: 4x + -5x = -1x
28 + -1x = -60 + 5x + -5x

Combine like terms: 5x + -5x = 0
28 + -1x = -60 + 0
28 + -1x = -60

Add '-28' to each side of the equation.
28 + -28 + -1x = -60 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = -60 + -28
-1x = -60 + -28

Combine like terms: -60 + -28 = -88
-1x = -88

Divide each side by '-1'.
x = 88

Simplifying
x = 88

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