5x-2=x-3

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


Simplifying
5x + -2 = x + -3

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

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

Solving
-2 + 5x = -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.
-2 + 5x + -1x = -3 + x + -1x

Combine like terms: 5x + -1x = 4x
-2 + 4x = -3 + x + -1x

Combine like terms: x + -1x = 0
-2 + 4x = -3 + 0
-2 + 4x = -3

Add '2' to each side of the equation.
-2 + 2 + 4x = -3 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = -3 + 2
4x = -3 + 2

Combine like terms: -3 + 2 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25

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