-1(x-12)+3(x+2)=6x+90

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Solution for -1(x-12)+3(x+2)=6x+90 equation:


Simplifying
-1(x + -12) + 3(x + 2) = 6x + 90

Reorder the terms:
-1(-12 + x) + 3(x + 2) = 6x + 90
(-12 * -1 + x * -1) + 3(x + 2) = 6x + 90
(12 + -1x) + 3(x + 2) = 6x + 90

Reorder the terms:
12 + -1x + 3(2 + x) = 6x + 90
12 + -1x + (2 * 3 + x * 3) = 6x + 90
12 + -1x + (6 + 3x) = 6x + 90

Reorder the terms:
12 + 6 + -1x + 3x = 6x + 90

Combine like terms: 12 + 6 = 18
18 + -1x + 3x = 6x + 90

Combine like terms: -1x + 3x = 2x
18 + 2x = 6x + 90

Reorder the terms:
18 + 2x = 90 + 6x

Solving
18 + 2x = 90 + 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 = 90 + 6x + -6x

Combine like terms: 2x + -6x = -4x
18 + -4x = 90 + 6x + -6x

Combine like terms: 6x + -6x = 0
18 + -4x = 90 + 0
18 + -4x = 90

Add '-18' to each side of the equation.
18 + -18 + -4x = 90 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = 90 + -18
-4x = 90 + -18

Combine like terms: 90 + -18 = 72
-4x = 72

Divide each side by '-4'.
x = -18

Simplifying
x = -18

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