3x-65=2x-22

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Solution for 3x-65=2x-22 equation:


Simplifying
3x + -65 = 2x + -22

Reorder the terms:
-65 + 3x = 2x + -22

Reorder the terms:
-65 + 3x = -22 + 2x

Solving
-65 + 3x = -22 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-65 + 3x + -2x = -22 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-65 + 1x = -22 + 2x + -2x

Combine like terms: 2x + -2x = 0
-65 + 1x = -22 + 0
-65 + 1x = -22

Add '65' to each side of the equation.
-65 + 65 + 1x = -22 + 65

Combine like terms: -65 + 65 = 0
0 + 1x = -22 + 65
1x = -22 + 65

Combine like terms: -22 + 65 = 43
1x = 43

Divide each side by '1'.
x = 43

Simplifying
x = 43

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