5x-8=12x-71

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Solution for 5x-8=12x-71 equation:


Simplifying
5x + -8 = 12x + -71

Reorder the terms:
-8 + 5x = 12x + -71

Reorder the terms:
-8 + 5x = -71 + 12x

Solving
-8 + 5x = -71 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-8 + 5x + -12x = -71 + 12x + -12x

Combine like terms: 5x + -12x = -7x
-8 + -7x = -71 + 12x + -12x

Combine like terms: 12x + -12x = 0
-8 + -7x = -71 + 0
-8 + -7x = -71

Add '8' to each side of the equation.
-8 + 8 + -7x = -71 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = -71 + 8
-7x = -71 + 8

Combine like terms: -71 + 8 = -63
-7x = -63

Divide each side by '-7'.
x = 9

Simplifying
x = 9

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