6a-42=2a+1a

Solution for 6a-42=2a+1a equation:

Simplifying
6a + -42 = 2a + 1a

Reorder the terms:
-42 + 6a = 2a + 1a

Combine like terms: 2a + 1a = 3a
-42 + 6a = 3a

Solving
-42 + 6a = 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-42 + 6a + -3a = 3a + -3a

Combine like terms: 6a + -3a = 3a
-42 + 3a = 3a + -3a

Combine like terms: 3a + -3a = 0
-42 + 3a = 0

Add '42' to each side of the equation.
-42 + 42 + 3a = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 3a = 0 + 42
3a = 0 + 42

Combine like terms: 0 + 42 = 42
3a = 42

Divide each side by '3'.
a = 14

Simplifying
a = 14