5.1q-1.6-5.8q=1.7q-5.6

Solution for 5.1q-1.6-5.8q=1.7q-5.6 equation:

Simplifying
5.1q + -1.6 + -5.8q = 1.7q + -5.6

Reorder the terms:
-1.6 + 5.1q + -5.8q = 1.7q + -5.6

Combine like terms: 5.1q + -5.8q = -0.7q
-1.6 + -0.7q = 1.7q + -5.6

Reorder the terms:
-1.6 + -0.7q = -5.6 + 1.7q

Solving
-1.6 + -0.7q = -5.6 + 1.7q

Solving for variable 'q'.

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

Add '-1.7q' to each side of the equation.
-1.6 + -0.7q + -1.7q = -5.6 + 1.7q + -1.7q

Combine like terms: -0.7q + -1.7q = -2.4q
-1.6 + -2.4q = -5.6 + 1.7q + -1.7q

Combine like terms: 1.7q + -1.7q = 0.0
-1.6 + -2.4q = -5.6 + 0.0
-1.6 + -2.4q = -5.6

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -2.4q = -5.6 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -2.4q = -5.6 + 1.6
-2.4q = -5.6 + 1.6

Combine like terms: -5.6 + 1.6 = -4
-2.4q = -4

Divide each side by '-2.4'.
q = 1.666666667

Simplifying
q = 1.666666667