6x+2-3x+2x=9x-12

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Solution for 6x+2-3x+2x=9x-12 equation:


Simplifying
6x + 2 + -3x + 2x = 9x + -12

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

Combine like terms: 6x + -3x = 3x
2 + 3x + 2x = 9x + -12

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

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

Solving
2 + 5x = -12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
2 + 5x + -9x = -12 + 9x + -9x

Combine like terms: 5x + -9x = -4x
2 + -4x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -4x = -12 + 0
2 + -4x = -12

Add '-2' to each side of the equation.
2 + -2 + -4x = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = -12 + -2
-4x = -12 + -2

Combine like terms: -12 + -2 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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