9x-71=(x-6)-8

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Solution for 9x-71=(x-6)-8 equation:


Simplifying
9x + -71 = (x + -6) + -8

Reorder the terms:
-71 + 9x = (x + -6) + -8

Reorder the terms:
-71 + 9x = (-6 + x) + -8

Remove parenthesis around (-6 + x)
-71 + 9x = -6 + x + -8

Reorder the terms:
-71 + 9x = -6 + -8 + x

Combine like terms: -6 + -8 = -14
-71 + 9x = -14 + x

Solving
-71 + 9x = -14 + 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.
-71 + 9x + -1x = -14 + x + -1x

Combine like terms: 9x + -1x = 8x
-71 + 8x = -14 + x + -1x

Combine like terms: x + -1x = 0
-71 + 8x = -14 + 0
-71 + 8x = -14

Add '71' to each side of the equation.
-71 + 71 + 8x = -14 + 71

Combine like terms: -71 + 71 = 0
0 + 8x = -14 + 71
8x = -14 + 71

Combine like terms: -14 + 71 = 57
8x = 57

Divide each side by '8'.
x = 7.125

Simplifying
x = 7.125

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