5(x+2)=3(x-8)

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Solution for 5(x+2)=3(x-8) equation: 


Simplifying
5(x + 2) = 3(x + -8)

Reorder the terms:
5(2 + x) = 3(x + -8)
(2 * 5 + x * 5) = 3(x + -8)
(10 + 5x) = 3(x + -8)

Reorder the terms:
10 + 5x = 3(-8 + x)
10 + 5x = (-8 * 3 + x * 3)
10 + 5x = (-24 + 3x)

Solving
10 + 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.
10 + 5x + -3x = -24 + 3x + -3x

Combine like terms: 5x + -3x = 2x
10 + 2x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 2x = -24 + 0
10 + 2x = -24

Add '-10' to each side of the equation.
10 + -10 + 2x = -24 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = -24 + -10
2x = -24 + -10

Combine like terms: -24 + -10 = -34
2x = -34

Divide each side by '2'.
x = -17

Simplifying
x = -17

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