5(x+8)=x

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


Simplifying
5(x + 8) = x

Reorder the terms:
5(8 + x) = x
(8 * 5 + x * 5) = x
(40 + 5x) = x

Solving
40 + 5x = 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.
40 + 5x + -1x = x + -1x

Combine like terms: 5x + -1x = 4x
40 + 4x = x + -1x

Combine like terms: x + -1x = 0
40 + 4x = 0

Add '-40' to each side of the equation.
40 + -40 + 4x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 4x = 0 + -40
4x = 0 + -40

Combine like terms: 0 + -40 = -40
4x = -40

Divide each side by '4'.
x = -10

Simplifying
x = -10

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