-6x-5=-5(x+3)+8

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Solution for -6x-5=-5(x+3)+8 equation:


Simplifying
-6x + -5 = -5(x + 3) + 8

Reorder the terms:
-5 + -6x = -5(x + 3) + 8

Reorder the terms:
-5 + -6x = -5(3 + x) + 8
-5 + -6x = (3 * -5 + x * -5) + 8
-5 + -6x = (-15 + -5x) + 8

Reorder the terms:
-5 + -6x = -15 + 8 + -5x

Combine like terms: -15 + 8 = -7
-5 + -6x = -7 + -5x

Solving
-5 + -6x = -7 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-5 + -6x + 5x = -7 + -5x + 5x

Combine like terms: -6x + 5x = -1x
-5 + -1x = -7 + -5x + 5x

Combine like terms: -5x + 5x = 0
-5 + -1x = -7 + 0
-5 + -1x = -7

Add '5' to each side of the equation.
-5 + 5 + -1x = -7 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -7 + 5
-1x = -7 + 5

Combine like terms: -7 + 5 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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