8a-6=2a+42

Solution for 8a-6=2a+42 equation:

Simplifying
8a + -6 = 2a + 42

Reorder the terms:
-6 + 8a = 2a + 42

Reorder the terms:
-6 + 8a = 42 + 2a

Solving
-6 + 8a = 42 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-6 + 8a + -2a = 42 + 2a + -2a

Combine like terms: 8a + -2a = 6a
-6 + 6a = 42 + 2a + -2a

Combine like terms: 2a + -2a = 0
-6 + 6a = 42 + 0
-6 + 6a = 42

Add '6' to each side of the equation.
-6 + 6 + 6a = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 6a = 42 + 6
6a = 42 + 6

Combine like terms: 42 + 6 = 48
6a = 48

Divide each side by '6'.
a = 8

Simplifying
a = 8