3x-5=2x-2

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Solution for 3x-5=2x-2 equation:


Simplifying
3x + -5 = 2x + -2

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

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

Solving
-5 + 3x = -2 + 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.
-5 + 3x + -2x = -2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-5 + 1x = -2 + 0
-5 + 1x = -2

Add '5' to each side of the equation.
-5 + 5 + 1x = -2 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -2 + 5
1x = -2 + 5

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

Divide each side by '1'.
x = 3

Simplifying
x = 3

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