2x+3=x+5

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

Simplifying
2x + 3 = x + 5

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

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

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

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

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

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

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

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

Divide each side by '1'.
x = 2

Simplifying
x = 2