5(x+4)=2x-2

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Solution for 5(x+4)=2x-2 equation:


Simplifying
5(x + 4) = 2x + -2

Reorder the terms:
5(4 + x) = 2x + -2
(4 * 5 + x * 5) = 2x + -2
(20 + 5x) = 2x + -2

Reorder the terms:
20 + 5x = -2 + 2x

Solving
20 + 5x = -2 + 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.
20 + 5x + -2x = -2 + 2x + -2x

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

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

Add '-20' to each side of the equation.
20 + -20 + 3x = -2 + -20

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

Combine like terms: -2 + -20 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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