5x-3=2x-2

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


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

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

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

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

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

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

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

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

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

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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