5x-8=-2(x+4)-28

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Solution for 5x-8=-2(x+4)-28 equation:


Simplifying
5x + -8 = -2(x + 4) + -28

Reorder the terms:
-8 + 5x = -2(x + 4) + -28

Reorder the terms:
-8 + 5x = -2(4 + x) + -28
-8 + 5x = (4 * -2 + x * -2) + -28
-8 + 5x = (-8 + -2x) + -28

Reorder the terms:
-8 + 5x = -8 + -28 + -2x

Combine like terms: -8 + -28 = -36
-8 + 5x = -36 + -2x

Solving
-8 + 5x = -36 + -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.
-8 + 5x + 2x = -36 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-8 + 7x = -36 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 7x = -36 + 0
-8 + 7x = -36

Add '8' to each side of the equation.
-8 + 8 + 7x = -36 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = -36 + 8
7x = -36 + 8

Combine like terms: -36 + 8 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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