-5x-8=2(x+10)

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Solution for -5x-8=2(x+10) equation:


Simplifying
-5x + -8 = 2(x + 10)

Reorder the terms:
-8 + -5x = 2(x + 10)

Reorder the terms:
-8 + -5x = 2(10 + x)
-8 + -5x = (10 * 2 + x * 2)
-8 + -5x = (20 + 2x)

Solving
-8 + -5x = 20 + 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 = 20 + 2x + -2x

Combine like terms: -5x + -2x = -7x
-8 + -7x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + -7x = 20 + 0
-8 + -7x = 20

Add '8' to each side of the equation.
-8 + 8 + -7x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + -7x = 20 + 8
-7x = 20 + 8

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

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

Simplifying
x = -4

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