3.6q-1.2-4.7q=2.1q-5.3

Solution for 3.6q-1.2-4.7q=2.1q-5.3 equation:

Simplifying
3.6q + -1.2 + -4.7q = 2.1q + -5.3

Reorder the terms:
-1.2 + 3.6q + -4.7q = 2.1q + -5.3

Combine like terms: 3.6q + -4.7q = -1.1q
-1.2 + -1.1q = 2.1q + -5.3

Reorder the terms:
-1.2 + -1.1q = -5.3 + 2.1q

Solving
-1.2 + -1.1q = -5.3 + 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.
-1.2 + -1.1q + -2.1q = -5.3 + 2.1q + -2.1q

Combine like terms: -1.1q + -2.1q = -3.2q
-1.2 + -3.2q = -5.3 + 2.1q + -2.1q

Combine like terms: 2.1q + -2.1q = 0.0
-1.2 + -3.2q = -5.3 + 0.0
-1.2 + -3.2q = -5.3

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -3.2q = -5.3 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -3.2q = -5.3 + 1.2
-3.2q = -5.3 + 1.2

Combine like terms: -5.3 + 1.2 = -4.1
-3.2q = -4.1

Divide each side by '-3.2'.
q = 1.28125

Simplifying
q = 1.28125