2.8q-5.2-3.2q=-1.4q-4.6

Solution for 2.8q-5.2-3.2q=-1.4q-4.6 equation:

Simplifying
2.8q + -5.2 + -3.2q = -1.4q + -4.6

Reorder the terms:
-5.2 + 2.8q + -3.2q = -1.4q + -4.6

Combine like terms: 2.8q + -3.2q = -0.4q
-5.2 + -0.4q = -1.4q + -4.6

Reorder the terms:
-5.2 + -0.4q = -4.6 + -1.4q

Solving
-5.2 + -0.4q = -4.6 + -1.4q

Solving for variable 'q'.

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

Add '1.4q' to each side of the equation.
-5.2 + -0.4q + 1.4q = -4.6 + -1.4q + 1.4q

Combine like terms: -0.4q + 1.4q = 1q
-5.2 + 1q = -4.6 + -1.4q + 1.4q

Combine like terms: -1.4q + 1.4q = 0.0
-5.2 + 1q = -4.6 + 0.0
-5.2 + 1q = -4.6

Add '5.2' to each side of the equation.
-5.2 + 5.2 + 1q = -4.6 + 5.2

Combine like terms: -5.2 + 5.2 = 0.0
0.0 + 1q = -4.6 + 5.2
1q = -4.6 + 5.2

Combine like terms: -4.6 + 5.2 = 0.6
1q = 0.6

Divide each side by '1'.
q = 0.6

Simplifying
q = 0.6