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

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


Simplifying
-1(x + -12) + 3(x + 2) = 6(x + 6)

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

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

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

Combine like terms: 12 + 6 = 18
18 + -1x + 3x = 6(x + 6)

Combine like terms: -1x + 3x = 2x
18 + 2x = 6(x + 6)

Reorder the terms:
18 + 2x = 6(6 + x)
18 + 2x = (6 * 6 + x * 6)
18 + 2x = (36 + 6x)

Solving
18 + 2x = 36 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
18 + 2x + -6x = 36 + 6x + -6x

Combine like terms: 2x + -6x = -4x
18 + -4x = 36 + 6x + -6x

Combine like terms: 6x + -6x = 0
18 + -4x = 36 + 0
18 + -4x = 36

Add '-18' to each side of the equation.
18 + -18 + -4x = 36 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = 36 + -18
-4x = 36 + -18

Combine like terms: 36 + -18 = 18
-4x = 18

Divide each side by '-4'.
x = -4.5

Simplifying
x = -4.5

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