5a+3=(-5)+a

Solution for 5a+3=(-5)+a equation:

Simplifying
5a + 3 = (-5) + a

Reorder the terms:
3 + 5a = (-5) + a
3 + 5a = -5 + a

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

Combine like terms: 5a + -1a = 4a
3 + 4a = -5 + a + -1a

Combine like terms: a + -1a = 0
3 + 4a = -5 + 0
3 + 4a = -5

Add '-3' to each side of the equation.
3 + -3 + 4a = -5 + -3

Combine like terms: 3 + -3 = 0
0 + 4a = -5 + -3
4a = -5 + -3

Combine like terms: -5 + -3 = -8
4a = -8

Divide each side by '4'.
a = -2

Simplifying
a = -2