9x-6=3x+x-12

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


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

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

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

Combine like terms: 3x + x = 4x
-6 + 9x = -12 + 4x

Solving
-6 + 9x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 9x + -4x = -12 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-6 + 5x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 5x = -12 + 0
-6 + 5x = -12

Add '6' to each side of the equation.
-6 + 6 + 5x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = -12 + 6
5x = -12 + 6

Combine like terms: -12 + 6 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2

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