2x-9=3x-2

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Solution for 2x-9=3x-2 equation:


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

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

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

Solving
-9 + 2x = -2 + 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 + 2x + -3x = -2 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-9 + -1x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + -1x = -2 + 0
-9 + -1x = -2

Add '9' to each side of the equation.
-9 + 9 + -1x = -2 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = -2 + 9
-1x = -2 + 9

Combine like terms: -2 + 9 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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