4.6q-3.6-5.3q=-1.7q-1.5

Solution for 4.6q-3.6-5.3q=-1.7q-1.5 equation:

Simplifying
4.6q + -3.6 + -5.3q = -1.7q + -1.5

Reorder the terms:
-3.6 + 4.6q + -5.3q = -1.7q + -1.5

Combine like terms: 4.6q + -5.3q = -0.7q
-3.6 + -0.7q = -1.7q + -1.5

Reorder the terms:
-3.6 + -0.7q = -1.5 + -1.7q

Solving
-3.6 + -0.7q = -1.5 + -1.7q

Solving for variable 'q'.

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

Add '1.7q' to each side of the equation.
-3.6 + -0.7q + 1.7q = -1.5 + -1.7q + 1.7q

Combine like terms: -0.7q + 1.7q = 1q
-3.6 + 1q = -1.5 + -1.7q + 1.7q

Combine like terms: -1.7q + 1.7q = 0.0
-3.6 + 1q = -1.5 + 0.0
-3.6 + 1q = -1.5

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 1q = -1.5 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 1q = -1.5 + 3.6
1q = -1.5 + 3.6

Combine like terms: -1.5 + 3.6 = 2.1
1q = 2.1

Divide each side by '1'.
q = 2.1

Simplifying
q = 2.1