2a+3=a-5

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

Simplifying
2a + 3 = a + -5

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

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

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

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

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

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

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

Combine like terms: -5 + -3 = -8
1a = -8

Divide each side by '1'.
a = -8

Simplifying
a = -8