5x-2+-3x+9=12x+12-15x

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Solution for 5x-2+-3x+9=12x+12-15x equation:


Simplifying
5x + -2 + -3x + 9 = 12x + 12 + -15x

Reorder the terms:
-2 + 9 + 5x + -3x = 12x + 12 + -15x

Combine like terms: -2 + 9 = 7
7 + 5x + -3x = 12x + 12 + -15x

Combine like terms: 5x + -3x = 2x
7 + 2x = 12x + 12 + -15x

Reorder the terms:
7 + 2x = 12 + 12x + -15x

Combine like terms: 12x + -15x = -3x
7 + 2x = 12 + -3x

Solving
7 + 2x = 12 + -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.
7 + 2x + 3x = 12 + -3x + 3x

Combine like terms: 2x + 3x = 5x
7 + 5x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 5x = 12 + 0
7 + 5x = 12

Add '-7' to each side of the equation.
7 + -7 + 5x = 12 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 12 + -7
5x = 12 + -7

Combine like terms: 12 + -7 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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