5a-6=4a-42

Solution for 5a-6=4a-42 equation:

Simplifying
5a + -6 = 4a + -42

Reorder the terms:
-6 + 5a = 4a + -42

Reorder the terms:
-6 + 5a = -42 + 4a

Solving
-6 + 5a = -42 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-6 + 5a + -4a = -42 + 4a + -4a

Combine like terms: 5a + -4a = 1a
-6 + 1a = -42 + 4a + -4a

Combine like terms: 4a + -4a = 0
-6 + 1a = -42 + 0
-6 + 1a = -42

Add '6' to each side of the equation.
-6 + 6 + 1a = -42 + 6

Combine like terms: -6 + 6 = 0
0 + 1a = -42 + 6
1a = -42 + 6

Combine like terms: -42 + 6 = -36
1a = -36

Divide each side by '1'.
a = -36

Simplifying
a = -36