6x+9=x-6

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


Simplifying
6x + 9 = x + -6

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

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

Solving
9 + 6x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
9 + 6x + -1x = -6 + x + -1x

Combine like terms: 6x + -1x = 5x
9 + 5x = -6 + x + -1x

Combine like terms: x + -1x = 0
9 + 5x = -6 + 0
9 + 5x = -6

Add '-9' to each side of the equation.
9 + -9 + 5x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = -6 + -9
5x = -6 + -9

Combine like terms: -6 + -9 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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