5a-2a+6=8a-32

Solution for 5a-2a+6=8a-32 equation:

Simplifying
5a + -2a + 6 = 8a + -32

Reorder the terms:
6 + 5a + -2a = 8a + -32

Combine like terms: 5a + -2a = 3a
6 + 3a = 8a + -32

Reorder the terms:
6 + 3a = -32 + 8a

Solving
6 + 3a = -32 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
6 + 3a + -8a = -32 + 8a + -8a

Combine like terms: 3a + -8a = -5a
6 + -5a = -32 + 8a + -8a

Combine like terms: 8a + -8a = 0
6 + -5a = -32 + 0
6 + -5a = -32

Add '-6' to each side of the equation.
6 + -6 + -5a = -32 + -6

Combine like terms: 6 + -6 = 0
0 + -5a = -32 + -6
-5a = -32 + -6

Combine like terms: -32 + -6 = -38
-5a = -38

Divide each side by '-5'.
a = 7.6

Simplifying
a = 7.6