6x+1(-5x-5)=-8+2(-x-12)

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Solution for 6x+1(-5x-5)=-8+2(-x-12) equation:


Simplifying
6x + 1(-5x + -5) = -8 + 2(-1x + -12)

Reorder the terms:
6x + 1(-5 + -5x) = -8 + 2(-1x + -12)
6x + (-5 * 1 + -5x * 1) = -8 + 2(-1x + -12)
6x + (-5 + -5x) = -8 + 2(-1x + -12)

Reorder the terms:
-5 + 6x + -5x = -8 + 2(-1x + -12)

Combine like terms: 6x + -5x = 1x
-5 + 1x = -8 + 2(-1x + -12)

Reorder the terms:
-5 + 1x = -8 + 2(-12 + -1x)
-5 + 1x = -8 + (-12 * 2 + -1x * 2)
-5 + 1x = -8 + (-24 + -2x)

Combine like terms: -8 + -24 = -32
-5 + 1x = -32 + -2x

Solving
-5 + 1x = -32 + -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.
-5 + 1x + 2x = -32 + -2x + 2x

Combine like terms: 1x + 2x = 3x
-5 + 3x = -32 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 3x = -32 + 0
-5 + 3x = -32

Add '5' to each side of the equation.
-5 + 5 + 3x = -32 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = -32 + 5
3x = -32 + 5

Combine like terms: -32 + 5 = -27
3x = -27

Divide each side by '3'.
x = -9

Simplifying
x = -9

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