3(x+6)=x-2

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


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

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

Reorder the terms:
18 + 3x = -2 + x

Solving
18 + 3x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
18 + 3x + -1x = -2 + x + -1x

Combine like terms: 3x + -1x = 2x
18 + 2x = -2 + x + -1x

Combine like terms: x + -1x = 0
18 + 2x = -2 + 0
18 + 2x = -2

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

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

Combine like terms: -2 + -18 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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