2x+9=12x-71

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Solution for 2x+9=12x-71 equation:


Simplifying
2x + 9 = 12x + -71

Reorder the terms:
9 + 2x = 12x + -71

Reorder the terms:
9 + 2x = -71 + 12x

Solving
9 + 2x = -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.
9 + 2x + -12x = -71 + 12x + -12x

Combine like terms: 2x + -12x = -10x
9 + -10x = -71 + 12x + -12x

Combine like terms: 12x + -12x = 0
9 + -10x = -71 + 0
9 + -10x = -71

Add '-9' to each side of the equation.
9 + -9 + -10x = -71 + -9

Combine like terms: 9 + -9 = 0
0 + -10x = -71 + -9
-10x = -71 + -9

Combine like terms: -71 + -9 = -80
-10x = -80

Divide each side by '-10'.
x = 8

Simplifying
x = 8

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