3(4x+6)=2-(x-2)

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Solution for 3(4x+6)=2-(x-2) equation:


Simplifying
3(4x + 6) = 2 + -1(x + -2)

Reorder the terms:
3(6 + 4x) = 2 + -1(x + -2)
(6 * 3 + 4x * 3) = 2 + -1(x + -2)
(18 + 12x) = 2 + -1(x + -2)

Reorder the terms:
18 + 12x = 2 + -1(-2 + x)
18 + 12x = 2 + (-2 * -1 + x * -1)
18 + 12x = 2 + (2 + -1x)

Combine like terms: 2 + 2 = 4
18 + 12x = 4 + -1x

Solving
18 + 12x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
18 + 12x + x = 4 + -1x + x

Combine like terms: 12x + x = 13x
18 + 13x = 4 + -1x + x

Combine like terms: -1x + x = 0
18 + 13x = 4 + 0
18 + 13x = 4

Add '-18' to each side of the equation.
18 + -18 + 13x = 4 + -18

Combine like terms: 18 + -18 = 0
0 + 13x = 4 + -18
13x = 4 + -18

Combine like terms: 4 + -18 = -14
13x = -14

Divide each side by '13'.
x = -1.076923077

Simplifying
x = -1.076923077

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