4.2q-3.6-4.6q=1.4q-3.2

Solution for 4.2q-3.6-4.6q=1.4q-3.2 equation:

Simplifying
4.2q + -3.6 + -4.6q = 1.4q + -3.2

Reorder the terms:
-3.6 + 4.2q + -4.6q = 1.4q + -3.2

Combine like terms: 4.2q + -4.6q = -0.4q
-3.6 + -0.4q = 1.4q + -3.2

Reorder the terms:
-3.6 + -0.4q = -3.2 + 1.4q

Solving
-3.6 + -0.4q = -3.2 + 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.
-3.6 + -0.4q + -1.4q = -3.2 + 1.4q + -1.4q

Combine like terms: -0.4q + -1.4q = -1.8q
-3.6 + -1.8q = -3.2 + 1.4q + -1.4q

Combine like terms: 1.4q + -1.4q = 0.0
-3.6 + -1.8q = -3.2 + 0.0
-3.6 + -1.8q = -3.2

Add '3.6' to each side of the equation.
-3.6 + 3.6 + -1.8q = -3.2 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + -1.8q = -3.2 + 3.6
-1.8q = -3.2 + 3.6

Combine like terms: -3.2 + 3.6 = 0.4
-1.8q = 0.4

Divide each side by '-1.8'.
q = -0.2222222222

Simplifying
q = -0.2222222222