5x-3=x+2

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


Simplifying
5x + -3 = x + 2

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

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

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

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

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

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

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

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

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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