2a+3=a+1

Solution for 2a+3=a+1 equation:

Simplifying
2a + 3 = a + 1

Reorder the terms:
3 + 2a = a + 1

Reorder the terms:
3 + 2a = 1 + a

Solving
3 + 2a = 1 + a

Solving for variable 'a'.

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

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

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

Combine like terms: a + -1a = 0
3 + 1a = 1 + 0
3 + 1a = 1

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

Combine like terms: 3 + -3 = 0
0 + 1a = 1 + -3
1a = 1 + -3

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

Divide each side by '1'.
a = -2

Simplifying
a = -2