5(x+4)=3(x-8)

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Solution for 5(x+4)=3(x-8) equation: 


Simplifying
5(x + 4) = 3(x + -8)

Reorder the terms:
5(4 + x) = 3(x + -8)
(4 * 5 + x * 5) = 3(x + -8)
(20 + 5x) = 3(x + -8)

Reorder the terms:
20 + 5x = 3(-8 + x)
20 + 5x = (-8 * 3 + x * 3)
20 + 5x = (-24 + 3x)

Solving
20 + 5x = -24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + 5x + -3x = -24 + 3x + -3x

Combine like terms: 5x + -3x = 2x
20 + 2x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 2x = -24 + 0
20 + 2x = -24

Add '-20' to each side of the equation.
20 + -20 + 2x = -24 + -20

Combine like terms: 20 + -20 = 0
0 + 2x = -24 + -20
2x = -24 + -20

Combine like terms: -24 + -20 = -44
2x = -44

Divide each side by '2'.
x = -22

Simplifying
x = -22

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