8a-32=7a+10

Solution for 8a-32=7a+10 equation:

Simplifying
8a + -32 = 7a + 10

Reorder the terms:
-32 + 8a = 7a + 10

Reorder the terms:
-32 + 8a = 10 + 7a

Solving
-32 + 8a = 10 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
-32 + 8a + -7a = 10 + 7a + -7a

Combine like terms: 8a + -7a = 1a
-32 + 1a = 10 + 7a + -7a

Combine like terms: 7a + -7a = 0
-32 + 1a = 10 + 0
-32 + 1a = 10

Add '32' to each side of the equation.
-32 + 32 + 1a = 10 + 32

Combine like terms: -32 + 32 = 0
0 + 1a = 10 + 32
1a = 10 + 32

Combine like terms: 10 + 32 = 42
1a = 42

Divide each side by '1'.
a = 42

Simplifying
a = 42