7x-64=-2x+71

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Solution for 7x-64=-2x+71 equation:


Simplifying
7x + -64 = -2x + 71

Reorder the terms:
-64 + 7x = -2x + 71

Reorder the terms:
-64 + 7x = 71 + -2x

Solving
-64 + 7x = 71 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-64 + 7x + 2x = 71 + -2x + 2x

Combine like terms: 7x + 2x = 9x
-64 + 9x = 71 + -2x + 2x

Combine like terms: -2x + 2x = 0
-64 + 9x = 71 + 0
-64 + 9x = 71

Add '64' to each side of the equation.
-64 + 64 + 9x = 71 + 64

Combine like terms: -64 + 64 = 0
0 + 9x = 71 + 64
9x = 71 + 64

Combine like terms: 71 + 64 = 135
9x = 135

Divide each side by '9'.
x = 15

Simplifying
x = 15

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