5(x+2)=2x-8

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


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

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

Reorder the terms:
10 + 5x = -8 + 2x

Solving
10 + 5x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + 5x + -2x = -8 + 2x + -2x

Combine like terms: 5x + -2x = 3x
10 + 3x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 3x = -8 + 0
10 + 3x = -8

Add '-10' to each side of the equation.
10 + -10 + 3x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = -8 + -10
3x = -8 + -10

Combine like terms: -8 + -10 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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