5a+13=4a+32

Solution for 5a+13=4a+32 equation:

Simplifying
5a + 13 = 4a + 32

Reorder the terms:
13 + 5a = 4a + 32

Reorder the terms:
13 + 5a = 32 + 4a

Solving
13 + 5a = 32 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
13 + 5a + -4a = 32 + 4a + -4a

Combine like terms: 5a + -4a = 1a
13 + 1a = 32 + 4a + -4a

Combine like terms: 4a + -4a = 0
13 + 1a = 32 + 0
13 + 1a = 32

Add '-13' to each side of the equation.
13 + -13 + 1a = 32 + -13

Combine like terms: 13 + -13 = 0
0 + 1a = 32 + -13
1a = 32 + -13

Combine like terms: 32 + -13 = 19
1a = 19

Divide each side by '1'.
a = 19

Simplifying
a = 19