6x-2-(x+2)=3x-18

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Solution for 6x-2-(x+2)=3x-18 equation:


Simplifying
6x + -2 + -1(x + 2) = 3x + -18

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

Reorder the terms:
-2 + -2 + 6x + -1x = 3x + -18

Combine like terms: -2 + -2 = -4
-4 + 6x + -1x = 3x + -18

Combine like terms: 6x + -1x = 5x
-4 + 5x = 3x + -18

Reorder the terms:
-4 + 5x = -18 + 3x

Solving
-4 + 5x = -18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 5x + -3x = -18 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-4 + 2x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 2x = -18 + 0
-4 + 2x = -18

Add '4' to each side of the equation.
-4 + 4 + 2x = -18 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = -18 + 4
2x = -18 + 4

Combine like terms: -18 + 4 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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