2x-5=x-3

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


Simplifying
2x + -5 = x + -3

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

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

Solving
-5 + 2x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + 2x + -1x = -3 + x + -1x

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

Combine like terms: x + -1x = 0
-5 + 1x = -3 + 0
-5 + 1x = -3

Add '5' to each side of the equation.
-5 + 5 + 1x = -3 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -3 + 5
1x = -3 + 5

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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