9x+56=7x-2(x-2)

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


Simplifying
9x + 56 = 7x + -2(x + -2)

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

Reorder the terms:
56 + 9x = 7x + -2(-2 + x)
56 + 9x = 7x + (-2 * -2 + x * -2)
56 + 9x = 7x + (4 + -2x)

Reorder the terms:
56 + 9x = 4 + 7x + -2x

Combine like terms: 7x + -2x = 5x
56 + 9x = 4 + 5x

Solving
56 + 9x = 4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
56 + 9x + -5x = 4 + 5x + -5x

Combine like terms: 9x + -5x = 4x
56 + 4x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0
56 + 4x = 4 + 0
56 + 4x = 4

Add '-56' to each side of the equation.
56 + -56 + 4x = 4 + -56

Combine like terms: 56 + -56 = 0
0 + 4x = 4 + -56
4x = 4 + -56

Combine like terms: 4 + -56 = -52
4x = -52

Divide each side by '4'.
x = -13

Simplifying
x = -13

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