2x+6-7x-9=3x-6-2x-9

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Solution for 2x+6-7x-9=3x-6-2x-9 equation: 


Simplifying
2x + 6 + -7x + -9 = 3x + -6 + -2x + -9

Reorder the terms:
6 + -9 + 2x + -7x = 3x + -6 + -2x + -9

Combine like terms: 6 + -9 = -3
-3 + 2x + -7x = 3x + -6 + -2x + -9

Combine like terms: 2x + -7x = -5x
-3 + -5x = 3x + -6 + -2x + -9

Reorder the terms:
-3 + -5x = -6 + -9 + 3x + -2x

Combine like terms: -6 + -9 = -15
-3 + -5x = -15 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-3 + -5x = -15 + 1x

Solving
-3 + -5x = -15 + 1x

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.
-3 + -5x + -1x = -15 + 1x + -1x

Combine like terms: -5x + -1x = -6x
-3 + -6x = -15 + 1x + -1x

Combine like terms: 1x + -1x = 0
-3 + -6x = -15 + 0
-3 + -6x = -15

Add '3' to each side of the equation.
-3 + 3 + -6x = -15 + 3

Combine like terms: -3 + 3 = 0
0 + -6x = -15 + 3
-6x = -15 + 3

Combine like terms: -15 + 3 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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