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

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


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

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

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

Remove parenthesis around (-2 + x)
20 + 5x = -2 + x

Solving
20 + 5x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
20 + 5x + -1x = -2 + x + -1x

Combine like terms: 5x + -1x = 4x
20 + 4x = -2 + x + -1x

Combine like terms: x + -1x = 0
20 + 4x = -2 + 0
20 + 4x = -2

Add '-20' to each side of the equation.
20 + -20 + 4x = -2 + -20

Combine like terms: 20 + -20 = 0
0 + 4x = -2 + -20
4x = -2 + -20

Combine like terms: -2 + -20 = -22
4x = -22

Divide each side by '4'.
x = -5.5

Simplifying
x = -5.5

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