6x-9=7x+6-2x

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Solution for 6x-9=7x+6-2x equation:


Simplifying
6x + -9 = 7x + 6 + -2x

Reorder the terms:
-9 + 6x = 7x + 6 + -2x

Reorder the terms:
-9 + 6x = 6 + 7x + -2x

Combine like terms: 7x + -2x = 5x
-9 + 6x = 6 + 5x

Solving
-9 + 6x = 6 + 5x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: 6 + 9 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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