6x+(3x+2)=(12x-31)

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Solution for 6x+(3x+2)=(12x-31) equation:


Simplifying
6x + (3x + 2) = (12x + -31)

Reorder the terms:
6x + (2 + 3x) = (12x + -31)

Remove parenthesis around (2 + 3x)
6x + 2 + 3x = (12x + -31)

Reorder the terms:
2 + 6x + 3x = (12x + -31)

Combine like terms: 6x + 3x = 9x
2 + 9x = (12x + -31)

Reorder the terms:
2 + 9x = (-31 + 12x)

Remove parenthesis around (-31 + 12x)
2 + 9x = -31 + 12x

Solving
2 + 9x = -31 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
2 + 9x + -12x = -31 + 12x + -12x

Combine like terms: 9x + -12x = -3x
2 + -3x = -31 + 12x + -12x

Combine like terms: 12x + -12x = 0
2 + -3x = -31 + 0
2 + -3x = -31

Add '-2' to each side of the equation.
2 + -2 + -3x = -31 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -31 + -2
-3x = -31 + -2

Combine like terms: -31 + -2 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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