5.2q-4.6-7.1q=-.09q-4.6

Solution for 5.2q-4.6-7.1q=-.09q-4.6 equation:

Simplifying
5.2q + -4.6 + -7.1q = -0.09q + -4.6

Reorder the terms:
-4.6 + 5.2q + -7.1q = -0.09q + -4.6

Combine like terms: 5.2q + -7.1q = -1.9q
-4.6 + -1.9q = -0.09q + -4.6

Reorder the terms:
-4.6 + -1.9q = -4.6 + -0.09q

Add '4.6' to each side of the equation.
-4.6 + 4.6 + -1.9q = -4.6 + 4.6 + -0.09q

Combine like terms: -4.6 + 4.6 = 0.0
0.0 + -1.9q = -4.6 + 4.6 + -0.09q
-1.9q = -4.6 + 4.6 + -0.09q

Combine like terms: -4.6 + 4.6 = 0.0
-1.9q = 0.0 + -0.09q
-1.9q = -0.09q

Solving
-1.9q = -0.09q

Solving for variable 'q'.

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

Add '0.09q' to each side of the equation.
-1.9q + 0.09q = -0.09q + 0.09q

Combine like terms: -1.9q + 0.09q = -1.81q
-1.81q = -0.09q + 0.09q

Combine like terms: -0.09q + 0.09q = 0.00
-1.81q = 0.00

Divide each side by '-1.81'.
q = 0

Simplifying
q = 0