31a-42=4a+45

Solution for 31a-42=4a+45 equation:

Simplifying
31a + -42 = 4a + 45

Reorder the terms:
-42 + 31a = 4a + 45

Reorder the terms:
-42 + 31a = 45 + 4a

Solving
-42 + 31a = 45 + 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.
-42 + 31a + -4a = 45 + 4a + -4a

Combine like terms: 31a + -4a = 27a
-42 + 27a = 45 + 4a + -4a

Combine like terms: 4a + -4a = 0
-42 + 27a = 45 + 0
-42 + 27a = 45

Add '42' to each side of the equation.
-42 + 42 + 27a = 45 + 42

Combine like terms: -42 + 42 = 0
0 + 27a = 45 + 42
27a = 45 + 42

Combine like terms: 45 + 42 = 87
27a = 87

Divide each side by '27'.
a = 3.222222222

Simplifying
a = 3.222222222