3.8q-5.6-5.1q=-2.3q-4.6

Solution for 3.8q-5.6-5.1q=-2.3q-4.6 equation:

Simplifying
3.8q + -5.6 + -5.1q = -2.3q + -4.6

Reorder the terms:
-5.6 + 3.8q + -5.1q = -2.3q + -4.6

Combine like terms: 3.8q + -5.1q = -1.3q
-5.6 + -1.3q = -2.3q + -4.6

Reorder the terms:
-5.6 + -1.3q = -4.6 + -2.3q

Solving
-5.6 + -1.3q = -4.6 + -2.3q

Solving for variable 'q'.

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

Add '2.3q' to each side of the equation.
-5.6 + -1.3q + 2.3q = -4.6 + -2.3q + 2.3q

Combine like terms: -1.3q + 2.3q = 1q
-5.6 + 1q = -4.6 + -2.3q + 2.3q

Combine like terms: -2.3q + 2.3q = 0.0
-5.6 + 1q = -4.6 + 0.0
-5.6 + 1q = -4.6

Add '5.6' to each side of the equation.
-5.6 + 5.6 + 1q = -4.6 + 5.6

Combine like terms: -5.6 + 5.6 = 0.0
0.0 + 1q = -4.6 + 5.6
1q = -4.6 + 5.6

Combine like terms: -4.6 + 5.6 = 1
1q = 1

Divide each side by '1'.
q = 1

Simplifying
q = 1