2x-9=3x-32

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Solution for 2x-9=3x-32 equation:


Simplifying
2x + -9 = 3x + -32

Reorder the terms:
-9 + 2x = 3x + -32

Reorder the terms:
-9 + 2x = -32 + 3x

Solving
-9 + 2x = -32 + 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 = -32 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-9 + -1x = -32 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + -1x = -32 + 0
-9 + -1x = -32

Add '9' to each side of the equation.
-9 + 9 + -1x = -32 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = -32 + 9
-1x = -32 + 9

Combine like terms: -32 + 9 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23

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