6q-37=9q-82

Solution for 6q-37=9q-82 equation:

Simplifying
6q + -37 = 9q + -82

Reorder the terms:
-37 + 6q = 9q + -82

Reorder the terms:
-37 + 6q = -82 + 9q

Solving
-37 + 6q = -82 + 9q

Solving for variable 'q'.

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

Add '-9q' to each side of the equation.
-37 + 6q + -9q = -82 + 9q + -9q

Combine like terms: 6q + -9q = -3q
-37 + -3q = -82 + 9q + -9q

Combine like terms: 9q + -9q = 0
-37 + -3q = -82 + 0
-37 + -3q = -82

Add '37' to each side of the equation.
-37 + 37 + -3q = -82 + 37

Combine like terms: -37 + 37 = 0
0 + -3q = -82 + 37
-3q = -82 + 37

Combine like terms: -82 + 37 = -45
-3q = -45

Divide each side by '-3'.
q = 15

Simplifying
q = 15