3x+15-9=2(x+2)-18

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Solution for 3x+15-9=2(x+2)-18 equation:


Simplifying
3x + 15 + -9 = 2(x + 2) + -18

Reorder the terms:
15 + -9 + 3x = 2(x + 2) + -18

Combine like terms: 15 + -9 = 6
6 + 3x = 2(x + 2) + -18

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

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

Combine like terms: 4 + -18 = -14
6 + 3x = -14 + 2x

Solving
6 + 3x = -14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 3x + -2x = -14 + 2x + -2x

Combine like terms: 3x + -2x = 1x
6 + 1x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 1x = -14 + 0
6 + 1x = -14

Add '-6' to each side of the equation.
6 + -6 + 1x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -14 + -6
1x = -14 + -6

Combine like terms: -14 + -6 = -20
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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