3.3q-5.3-2.8q=-0.5q-1.6

Solution for 3.3q-5.3-2.8q=-0.5q-1.6 equation:

Simplifying
3.3q + -5.3 + -2.8q = -0.5q + -1.6

Reorder the terms:
-5.3 + 3.3q + -2.8q = -0.5q + -1.6

Combine like terms: 3.3q + -2.8q = 0.5q
-5.3 + 0.5q = -0.5q + -1.6

Reorder the terms:
-5.3 + 0.5q = -1.6 + -0.5q

Solving
-5.3 + 0.5q = -1.6 + -0.5q

Solving for variable 'q'.

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

Add '0.5q' to each side of the equation.
-5.3 + 0.5q + 0.5q = -1.6 + -0.5q + 0.5q

Combine like terms: 0.5q + 0.5q = 1q
-5.3 + 1q = -1.6 + -0.5q + 0.5q

Combine like terms: -0.5q + 0.5q = 0.0
-5.3 + 1q = -1.6 + 0.0
-5.3 + 1q = -1.6

Add '5.3' to each side of the equation.
-5.3 + 5.3 + 1q = -1.6 + 5.3

Combine like terms: -5.3 + 5.3 = 0.0
0.0 + 1q = -1.6 + 5.3
1q = -1.6 + 5.3

Combine like terms: -1.6 + 5.3 = 3.7
1q = 3.7

Divide each side by '1'.
q = 3.7

Simplifying
q = 3.7