6x+9=3x-13

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Solution for 6x+9=3x-13 equation:


Simplifying
6x + 9 = 3x + -13

Reorder the terms:
9 + 6x = 3x + -13

Reorder the terms:
9 + 6x = -13 + 3x

Solving
9 + 6x = -13 + 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.
9 + 6x + -3x = -13 + 3x + -3x

Combine like terms: 6x + -3x = 3x
9 + 3x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + 3x = -13 + 0
9 + 3x = -13

Add '-9' to each side of the equation.
9 + -9 + 3x = -13 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = -13 + -9
3x = -13 + -9

Combine like terms: -13 + -9 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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