7q-42=3q-6

Solution for 7q-42=3q-6 equation:

Simplifying
7q + -42 = 3q + -6

Reorder the terms:
-42 + 7q = 3q + -6

Reorder the terms:
-42 + 7q = -6 + 3q

Solving
-42 + 7q = -6 + 3q

Solving for variable 'q'.

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

Add '-3q' to each side of the equation.
-42 + 7q + -3q = -6 + 3q + -3q

Combine like terms: 7q + -3q = 4q
-42 + 4q = -6 + 3q + -3q

Combine like terms: 3q + -3q = 0
-42 + 4q = -6 + 0
-42 + 4q = -6

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

Combine like terms: -42 + 42 = 0
0 + 4q = -6 + 42
4q = -6 + 42

Combine like terms: -6 + 42 = 36
4q = 36

Divide each side by '4'.
q = 9

Simplifying
q = 9