4.2q-3.6-5.3q=-2.1q-4.2

Solution for 4.2q-3.6-5.3q=-2.1q-4.2 equation:

Simplifying
4.2q + -3.6 + -5.3q = -2.1q + -4.2

Reorder the terms:
-3.6 + 4.2q + -5.3q = -2.1q + -4.2

Combine like terms: 4.2q + -5.3q = -1.1q
-3.6 + -1.1q = -2.1q + -4.2

Reorder the terms:
-3.6 + -1.1q = -4.2 + -2.1q

Solving
-3.6 + -1.1q = -4.2 + -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.
-3.6 + -1.1q + 2.1q = -4.2 + -2.1q + 2.1q

Combine like terms: -1.1q + 2.1q = 1q
-3.6 + 1q = -4.2 + -2.1q + 2.1q

Combine like terms: -2.1q + 2.1q = 0.0
-3.6 + 1q = -4.2 + 0.0
-3.6 + 1q = -4.2

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 1q = -4.2 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 1q = -4.2 + 3.6
1q = -4.2 + 3.6

Combine like terms: -4.2 + 3.6 = -0.6
1q = -0.6

Divide each side by '1'.
q = -0.6

Simplifying
q = -0.6