5x-8=2(-4x-11)

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Solution for 5x-8=2(-4x-11) equation:


Simplifying
5x + -8 = 2(-4x + -11)

Reorder the terms:
-8 + 5x = 2(-4x + -11)

Reorder the terms:
-8 + 5x = 2(-11 + -4x)
-8 + 5x = (-11 * 2 + -4x * 2)
-8 + 5x = (-22 + -8x)

Solving
-8 + 5x = -22 + -8x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8x' to each side of the equation.
-8 + 5x + 8x = -22 + -8x + 8x

Combine like terms: 5x + 8x = 13x
-8 + 13x = -22 + -8x + 8x

Combine like terms: -8x + 8x = 0
-8 + 13x = -22 + 0
-8 + 13x = -22

Add '8' to each side of the equation.
-8 + 8 + 13x = -22 + 8

Combine like terms: -8 + 8 = 0
0 + 13x = -22 + 8
13x = -22 + 8

Combine like terms: -22 + 8 = -14
13x = -14

Divide each side by '13'.
x = -1.076923077

Simplifying
x = -1.076923077

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