56=31-5(x-2)

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Solution for 56=31-5(x-2) equation:


Simplifying
56 = 31 + -5(x + -2)

Reorder the terms:
56 = 31 + -5(-2 + x)
56 = 31 + (-2 * -5 + x * -5)
56 = 31 + (10 + -5x)

Combine like terms: 31 + 10 = 41
56 = 41 + -5x

Solving
56 = 41 + -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 + 5x = 41 + -5x + 5x

Combine like terms: -5x + 5x = 0
56 + 5x = 41 + 0
56 + 5x = 41

Add '-56' to each side of the equation.
56 + -56 + 5x = 41 + -56

Combine like terms: 56 + -56 = 0
0 + 5x = 41 + -56
5x = 41 + -56

Combine like terms: 41 + -56 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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