4.6q-2.6-5.1q=-1.5q-4.6

Solution for 4.6q-2.6-5.1q=-1.5q-4.6 equation:

Simplifying
4.6q + -2.6 + -5.1q = -1.5q + -4.6

Reorder the terms:
-2.6 + 4.6q + -5.1q = -1.5q + -4.6

Combine like terms: 4.6q + -5.1q = -0.5q
-2.6 + -0.5q = -1.5q + -4.6

Reorder the terms:
-2.6 + -0.5q = -4.6 + -1.5q

Solving
-2.6 + -0.5q = -4.6 + -1.5q

Solving for variable 'q'.

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

Add '1.5q' to each side of the equation.
-2.6 + -0.5q + 1.5q = -4.6 + -1.5q + 1.5q

Combine like terms: -0.5q + 1.5q = 1q
-2.6 + 1q = -4.6 + -1.5q + 1.5q

Combine like terms: -1.5q + 1.5q = 0.0
-2.6 + 1q = -4.6 + 0.0
-2.6 + 1q = -4.6

Add '2.6' to each side of the equation.
-2.6 + 2.6 + 1q = -4.6 + 2.6

Combine like terms: -2.6 + 2.6 = 0.0
0.0 + 1q = -4.6 + 2.6
1q = -4.6 + 2.6

Combine like terms: -4.6 + 2.6 = -2
1q = -2

Divide each side by '1'.
q = -2

Simplifying
q = -2