3(x+2)-2(3x-4)=x+18

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Solution for 3(x+2)-2(3x-4)=x+18 equation: 


Simplifying
3(x + 2) + -2(3x + -4) = x + 18

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

Reorder the terms:
6 + 3x + -2(-4 + 3x) = x + 18
6 + 3x + (-4 * -2 + 3x * -2) = x + 18
6 + 3x + (8 + -6x) = x + 18

Reorder the terms:
6 + 8 + 3x + -6x = x + 18

Combine like terms: 6 + 8 = 14
14 + 3x + -6x = x + 18

Combine like terms: 3x + -6x = -3x
14 + -3x = x + 18

Reorder the terms:
14 + -3x = 18 + x

Solving
14 + -3x = 18 + 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.
14 + -3x + -1x = 18 + x + -1x

Combine like terms: -3x + -1x = -4x
14 + -4x = 18 + x + -1x

Combine like terms: x + -1x = 0
14 + -4x = 18 + 0
14 + -4x = 18

Add '-14' to each side of the equation.
14 + -14 + -4x = 18 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = 18 + -14
-4x = 18 + -14

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

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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