5x-(-2x-8)=-5(x+4)-8

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Solution for 5x-(-2x-8)=-5(x+4)-8 equation:


Simplifying
5x + -1(-2x + -8) = -5(x + 4) + -8

Reorder the terms:
5x + -1(-8 + -2x) = -5(x + 4) + -8
5x + (-8 * -1 + -2x * -1) = -5(x + 4) + -8
5x + (8 + 2x) = -5(x + 4) + -8

Reorder the terms:
8 + 5x + 2x = -5(x + 4) + -8

Combine like terms: 5x + 2x = 7x
8 + 7x = -5(x + 4) + -8

Reorder the terms:
8 + 7x = -5(4 + x) + -8
8 + 7x = (4 * -5 + x * -5) + -8
8 + 7x = (-20 + -5x) + -8

Reorder the terms:
8 + 7x = -20 + -8 + -5x

Combine like terms: -20 + -8 = -28
8 + 7x = -28 + -5x

Solving
8 + 7x = -28 + -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.
8 + 7x + 5x = -28 + -5x + 5x

Combine like terms: 7x + 5x = 12x
8 + 12x = -28 + -5x + 5x

Combine like terms: -5x + 5x = 0
8 + 12x = -28 + 0
8 + 12x = -28

Add '-8' to each side of the equation.
8 + -8 + 12x = -28 + -8

Combine like terms: 8 + -8 = 0
0 + 12x = -28 + -8
12x = -28 + -8

Combine like terms: -28 + -8 = -36
12x = -36

Divide each side by '12'.
x = -3

Simplifying
x = -3

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