(2x+1)+(3x+5)=(6x-6)

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Solution for (2x+1)+(3x+5)=(6x-6) equation:


Simplifying
(2x + 1) + (3x + 5) = (6x + -6)

Reorder the terms:
(1 + 2x) + (3x + 5) = (6x + -6)

Remove parenthesis around (1 + 2x)
1 + 2x + (3x + 5) = (6x + -6)

Reorder the terms:
1 + 2x + (5 + 3x) = (6x + -6)

Remove parenthesis around (5 + 3x)
1 + 2x + 5 + 3x = (6x + -6)

Reorder the terms:
1 + 5 + 2x + 3x = (6x + -6)

Combine like terms: 1 + 5 = 6
6 + 2x + 3x = (6x + -6)

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

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

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

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

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

Combine like terms: 6x + -6x = 0
6 + -1x = -6 + 0
6 + -1x = -6

Add '-6' to each side of the equation.
6 + -6 + -1x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -6 + -6
-1x = -6 + -6

Combine like terms: -6 + -6 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

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