6(x+3)-2=-11x-(2+x)

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Solution for 6(x+3)-2=-11x-(2+x) equation: 


Simplifying
6(x + 3) + -2 = -11x + -1(2 + x)

Reorder the terms:
6(3 + x) + -2 = -11x + -1(2 + x)
(3 * 6 + x * 6) + -2 = -11x + -1(2 + x)
(18 + 6x) + -2 = -11x + -1(2 + x)

Reorder the terms:
18 + -2 + 6x = -11x + -1(2 + x)

Combine like terms: 18 + -2 = 16
16 + 6x = -11x + -1(2 + x)
16 + 6x = -11x + (2 * -1 + x * -1)
16 + 6x = -11x + (-2 + -1x)

Reorder the terms:
16 + 6x = -2 + -11x + -1x

Combine like terms: -11x + -1x = -12x
16 + 6x = -2 + -12x

Solving
16 + 6x = -2 + -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.
16 + 6x + 12x = -2 + -12x + 12x

Combine like terms: 6x + 12x = 18x
16 + 18x = -2 + -12x + 12x

Combine like terms: -12x + 12x = 0
16 + 18x = -2 + 0
16 + 18x = -2

Add '-16' to each side of the equation.
16 + -16 + 18x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + 18x = -2 + -16
18x = -2 + -16

Combine like terms: -2 + -16 = -18
18x = -18

Divide each side by '18'.
x = -1

Simplifying
x = -1

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