-5=9(x-5)-x

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Solution for -5=9(x-5)-x equation:


Simplifying
-5 = 9(x + -5) + -1x

Reorder the terms:
-5 = 9(-5 + x) + -1x
-5 = (-5 * 9 + x * 9) + -1x
-5 = (-45 + 9x) + -1x

Combine like terms: 9x + -1x = 8x
-5 = -45 + 8x

Solving
-5 = -45 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-5 + -8x = -45 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + -8x = -45 + 0
-5 + -8x = -45

Add '5' to each side of the equation.
-5 + 5 + -8x = -45 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = -45 + 5
-8x = -45 + 5

Combine like terms: -45 + 5 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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