(3x-12)+6=(5x-5)+1

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Solution for (3x-12)+6=(5x-5)+1 equation:


Simplifying
(3x + -12) + 6 = (5x + -5) + 1

Reorder the terms:
(-12 + 3x) + 6 = (5x + -5) + 1

Remove parenthesis around (-12 + 3x)
-12 + 3x + 6 = (5x + -5) + 1

Reorder the terms:
-12 + 6 + 3x = (5x + -5) + 1

Combine like terms: -12 + 6 = -6
-6 + 3x = (5x + -5) + 1

Reorder the terms:
-6 + 3x = (-5 + 5x) + 1

Remove parenthesis around (-5 + 5x)
-6 + 3x = -5 + 5x + 1

Reorder the terms:
-6 + 3x = -5 + 1 + 5x

Combine like terms: -5 + 1 = -4
-6 + 3x = -4 + 5x

Solving
-6 + 3x = -4 + 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.
-6 + 3x + -5x = -4 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-6 + -2x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -2x = -4 + 0
-6 + -2x = -4

Add '6' to each side of the equation.
-6 + 6 + -2x = -4 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -4 + 6
-2x = -4 + 6

Combine like terms: -4 + 6 = 2
-2x = 2

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

Simplifying
x = -1

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