5(x-4)+76=-2x

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Solution for 5(x-4)+76=-2x equation:


Simplifying
5(x + -4) + 76 = -2x

Reorder the terms:
5(-4 + x) + 76 = -2x
(-4 * 5 + x * 5) + 76 = -2x
(-20 + 5x) + 76 = -2x

Reorder the terms:
-20 + 76 + 5x = -2x

Combine like terms: -20 + 76 = 56
56 + 5x = -2x

Solving
56 + 5x = -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.
56 + 5x + 2x = -2x + 2x

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

Combine like terms: -2x + 2x = 0
56 + 7x = 0

Add '-56' to each side of the equation.
56 + -56 + 7x = 0 + -56

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

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

Divide each side by '7'.
x = -8

Simplifying
x = -8

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