4.6q-5.6-3.6q=0.0q-5.3

Solution for 4.6q-5.6-3.6q=0.0q-5.3 equation:

Simplifying
4.6q + -5.6 + -3.6q = 0.0q + -5.3

Reorder the terms:
-5.6 + 4.6q + -3.6q = 0.0q + -5.3

Combine like terms: 4.6q + -3.6q = 1q
-5.6 + 1q = 0.0q + -5.3

Anything times zero is zero.
-5.6 + 1q = 0.0q + -5.3

Combine like terms: 0.0 + -5.3 = -5.3
-5.6 + 1q = -5.3

Solving
-5.6 + 1q = -5.3

Solving for variable 'q'.

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

Add '5.6' to each side of the equation.
-5.6 + 5.6 + 1q = -5.3 + 5.6

Combine like terms: -5.6 + 5.6 = 0.0
0.0 + 1q = -5.3 + 5.6
1q = -5.3 + 5.6

Combine like terms: -5.3 + 5.6 = 0.3
1q = 0.3

Divide each side by '1'.
q = 0.3

Simplifying
q = 0.3