x*2+56=x*7-9

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Solution for x*2+56=x*7-9 equation:


Simplifying
x * 2 + 56 = x * 7 + -9

Reorder the terms for easier multiplication:
2x + 56 = x * 7 + -9

Reorder the terms:
56 + 2x = x * 7 + -9

Reorder the terms for easier multiplication:
56 + 2x = 7x + -9

Reorder the terms:
56 + 2x = -9 + 7x

Solving
56 + 2x = -9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
56 + 2x + -7x = -9 + 7x + -7x

Combine like terms: 2x + -7x = -5x
56 + -5x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
56 + -5x = -9 + 0
56 + -5x = -9

Add '-56' to each side of the equation.
56 + -56 + -5x = -9 + -56

Combine like terms: 56 + -56 = 0
0 + -5x = -9 + -56
-5x = -9 + -56

Combine like terms: -9 + -56 = -65
-5x = -65

Divide each side by '-5'.
x = 13

Simplifying
x = 13

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