(3x+5)+31=-6(2x+-1)

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Solution for (3x+5)+31=-6(2x+-1) equation:


Simplifying
(3x + 5) + 31 = -6(2x + -1)

Reorder the terms:
(5 + 3x) + 31 = -6(2x + -1)

Remove parenthesis around (5 + 3x)
5 + 3x + 31 = -6(2x + -1)

Reorder the terms:
5 + 31 + 3x = -6(2x + -1)

Combine like terms: 5 + 31 = 36
36 + 3x = -6(2x + -1)

Reorder the terms:
36 + 3x = -6(-1 + 2x)
36 + 3x = (-1 * -6 + 2x * -6)
36 + 3x = (6 + -12x)

Solving
36 + 3x = 6 + -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.
36 + 3x + 12x = 6 + -12x + 12x

Combine like terms: 3x + 12x = 15x
36 + 15x = 6 + -12x + 12x

Combine like terms: -12x + 12x = 0
36 + 15x = 6 + 0
36 + 15x = 6

Add '-36' to each side of the equation.
36 + -36 + 15x = 6 + -36

Combine like terms: 36 + -36 = 0
0 + 15x = 6 + -36
15x = 6 + -36

Combine like terms: 6 + -36 = -30
15x = -30

Divide each side by '15'.
x = -2

Simplifying
x = -2

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