4.2q-5.2-5.3q=-2.1q-1.6

Solution for 4.2q-5.2-5.3q=-2.1q-1.6 equation:

Simplifying
4.2q + -5.2 + -5.3q = -2.1q + -1.6

Reorder the terms:
-5.2 + 4.2q + -5.3q = -2.1q + -1.6

Combine like terms: 4.2q + -5.3q = -1.1q
-5.2 + -1.1q = -2.1q + -1.6

Reorder the terms:
-5.2 + -1.1q = -1.6 + -2.1q

Solving
-5.2 + -1.1q = -1.6 + -2.1q

Solving for variable 'q'.

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

Add '2.1q' to each side of the equation.
-5.2 + -1.1q + 2.1q = -1.6 + -2.1q + 2.1q

Combine like terms: -1.1q + 2.1q = 1q
-5.2 + 1q = -1.6 + -2.1q + 2.1q

Combine like terms: -2.1q + 2.1q = 0.0
-5.2 + 1q = -1.6 + 0.0
-5.2 + 1q = -1.6

Add '5.2' to each side of the equation.
-5.2 + 5.2 + 1q = -1.6 + 5.2

Combine like terms: -5.2 + 5.2 = 0.0
0.0 + 1q = -1.6 + 5.2
1q = -1.6 + 5.2

Combine like terms: -1.6 + 5.2 = 3.6
1q = 3.6

Divide each side by '1'.
q = 3.6

Simplifying
q = 3.6