15=5(x-1)-x

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


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

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

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

Solving
15 = -5 + 4x

Solving for variable 'x'.

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

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

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

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

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

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

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

Simplifying
x = 5

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