4.5q-3.1-4.7q=-1.2q-3.6

Solution for 4.5q-3.1-4.7q=-1.2q-3.6 equation:

Simplifying
4.5q + -3.1 + -4.7q = -1.2q + -3.6

Reorder the terms:
-3.1 + 4.5q + -4.7q = -1.2q + -3.6

Combine like terms: 4.5q + -4.7q = -0.2q
-3.1 + -0.2q = -1.2q + -3.6

Reorder the terms:
-3.1 + -0.2q = -3.6 + -1.2q

Solving
-3.1 + -0.2q = -3.6 + -1.2q

Solving for variable 'q'.

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

Add '1.2q' to each side of the equation.
-3.1 + -0.2q + 1.2q = -3.6 + -1.2q + 1.2q

Combine like terms: -0.2q + 1.2q = 1q
-3.1 + 1q = -3.6 + -1.2q + 1.2q

Combine like terms: -1.2q + 1.2q = 0.0
-3.1 + 1q = -3.6 + 0.0
-3.1 + 1q = -3.6

Add '3.1' to each side of the equation.
-3.1 + 3.1 + 1q = -3.6 + 3.1

Combine like terms: -3.1 + 3.1 = 0.0
0.0 + 1q = -3.6 + 3.1
1q = -3.6 + 3.1

Combine like terms: -3.6 + 3.1 = -0.5
1q = -0.5

Divide each side by '1'.
q = -0.5

Simplifying
q = -0.5