5(x+1)=x-15

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Solution for 5(x+1)=x-15 equation:


Simplifying
5(x + 1) = x + -15

Reorder the terms:
5(1 + x) = x + -15
(1 * 5 + x * 5) = x + -15
(5 + 5x) = x + -15

Reorder the terms:
5 + 5x = -15 + x

Solving
5 + 5x = -15 + 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.
5 + 5x + -1x = -15 + x + -1x

Combine like terms: 5x + -1x = 4x
5 + 4x = -15 + x + -1x

Combine like terms: x + -1x = 0
5 + 4x = -15 + 0
5 + 4x = -15

Add '-5' to each side of the equation.
5 + -5 + 4x = -15 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = -15 + -5
4x = -15 + -5

Combine like terms: -15 + -5 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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