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

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


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

Reorder the terms:
2 + -6x + -3(2 + 3x) = x + 12
2 + -6x + (2 * -3 + 3x * -3) = x + 12
2 + -6x + (-6 + -9x) = x + 12

Reorder the terms:
2 + -6 + -6x + -9x = x + 12

Combine like terms: 2 + -6 = -4
-4 + -6x + -9x = x + 12

Combine like terms: -6x + -9x = -15x
-4 + -15x = x + 12

Reorder the terms:
-4 + -15x = 12 + x

Solving
-4 + -15x = 12 + 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.
-4 + -15x + -1x = 12 + x + -1x

Combine like terms: -15x + -1x = -16x
-4 + -16x = 12 + x + -1x

Combine like terms: x + -1x = 0
-4 + -16x = 12 + 0
-4 + -16x = 12

Add '4' to each side of the equation.
-4 + 4 + -16x = 12 + 4

Combine like terms: -4 + 4 = 0
0 + -16x = 12 + 4
-16x = 12 + 4

Combine like terms: 12 + 4 = 16
-16x = 16

Divide each side by '-16'.
x = -1

Simplifying
x = -1

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