5x-8=-6(x+5)

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Solution for 5x-8=-6(x+5) equation:


Simplifying
5x + -8 = -6(x + 5)

Reorder the terms:
-8 + 5x = -6(x + 5)

Reorder the terms:
-8 + 5x = -6(5 + x)
-8 + 5x = (5 * -6 + x * -6)
-8 + 5x = (-30 + -6x)

Solving
-8 + 5x = -30 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-8 + 5x + 6x = -30 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-8 + 11x = -30 + -6x + 6x

Combine like terms: -6x + 6x = 0
-8 + 11x = -30 + 0
-8 + 11x = -30

Add '8' to each side of the equation.
-8 + 8 + 11x = -30 + 8

Combine like terms: -8 + 8 = 0
0 + 11x = -30 + 8
11x = -30 + 8

Combine like terms: -30 + 8 = -22
11x = -22

Divide each side by '11'.
x = -2

Simplifying
x = -2

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