3a-42=a+10

Solution for 3a-42=a+10 equation:

Simplifying
3a + -42 = a + 10

Reorder the terms:
-42 + 3a = a + 10

Reorder the terms:
-42 + 3a = 10 + a

Solving
-42 + 3a = 10 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-42 + 3a + -1a = 10 + a + -1a

Combine like terms: 3a + -1a = 2a
-42 + 2a = 10 + a + -1a

Combine like terms: a + -1a = 0
-42 + 2a = 10 + 0
-42 + 2a = 10

Add '42' to each side of the equation.
-42 + 42 + 2a = 10 + 42

Combine like terms: -42 + 42 = 0
0 + 2a = 10 + 42
2a = 10 + 42

Combine like terms: 10 + 42 = 52
2a = 52

Divide each side by '2'.
a = 26

Simplifying
a = 26