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

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


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

Reorder the terms:
5(3 + x) = 3(x + -8)
(3 * 5 + x * 5) = 3(x + -8)
(15 + 5x) = 3(x + -8)

Reorder the terms:
15 + 5x = 3(-8 + x)
15 + 5x = (-8 * 3 + x * 3)
15 + 5x = (-24 + 3x)

Solving
15 + 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.
15 + 5x + -3x = -24 + 3x + -3x

Combine like terms: 5x + -3x = 2x
15 + 2x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + 2x = -24 + 0
15 + 2x = -24

Add '-15' to each side of the equation.
15 + -15 + 2x = -24 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = -24 + -15
2x = -24 + -15

Combine like terms: -24 + -15 = -39
2x = -39

Divide each side by '2'.
x = -19.5

Simplifying
x = -19.5

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