9q-57=12q+100.5

Solution for 9q-57=12q+100.5 equation:

Simplifying
9q + -57 = 12q + 100.5

Reorder the terms:
-57 + 9q = 12q + 100.5

Reorder the terms:
-57 + 9q = 100.5 + 12q

Solving
-57 + 9q = 100.5 + 12q

Solving for variable 'q'.

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

Add '-12q' to each side of the equation.
-57 + 9q + -12q = 100.5 + 12q + -12q

Combine like terms: 9q + -12q = -3q
-57 + -3q = 100.5 + 12q + -12q

Combine like terms: 12q + -12q = 0
-57 + -3q = 100.5 + 0
-57 + -3q = 100.5

Add '57' to each side of the equation.
-57 + 57 + -3q = 100.5 + 57

Combine like terms: -57 + 57 = 0
0 + -3q = 100.5 + 57
-3q = 100.5 + 57

Combine like terms: 100.5 + 57 = 157.5
-3q = 157.5

Divide each side by '-3'.
q = -52.5

Simplifying
q = -52.5