5a+6=2a-3

Solution for 5a+6=2a-3 equation:

Simplifying
5a + 6 = 2a + -3

Reorder the terms:
6 + 5a = 2a + -3

Reorder the terms:
6 + 5a = -3 + 2a

Solving
6 + 5a = -3 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
6 + 5a + -2a = -3 + 2a + -2a

Combine like terms: 5a + -2a = 3a
6 + 3a = -3 + 2a + -2a

Combine like terms: 2a + -2a = 0
6 + 3a = -3 + 0
6 + 3a = -3

Add '-6' to each side of the equation.
6 + -6 + 3a = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 3a = -3 + -6
3a = -3 + -6

Combine like terms: -3 + -6 = -9
3a = -9

Divide each side by '3'.
a = -3

Simplifying
a = -3