5(x+4)=x-4

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


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

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

Reorder the terms:
20 + 5x = -4 + x

Solving
20 + 5x = -4 + 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 = -4 + x + -1x

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

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

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

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

Combine like terms: -4 + -20 = -24
4x = -24

Divide each side by '4'.
x = -6

Simplifying
x = -6

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