5a+6=3a+10

Solution for 5a+6=3a+10 equation:

Simplifying
5a + 6 = 3a + 10

Reorder the terms:
6 + 5a = 3a + 10

Reorder the terms:
6 + 5a = 10 + 3a

Solving
6 + 5a = 10 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
6 + 5a + -3a = 10 + 3a + -3a

Combine like terms: 5a + -3a = 2a
6 + 2a = 10 + 3a + -3a

Combine like terms: 3a + -3a = 0
6 + 2a = 10 + 0
6 + 2a = 10

Add '-6' to each side of the equation.
6 + -6 + 2a = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2a = 10 + -6
2a = 10 + -6

Combine like terms: 10 + -6 = 4
2a = 4

Divide each side by '2'.
a = 2

Simplifying
a = 2