5.4q-5.3-5.8q=-1.4q-5.1

Solution for 5.4q-5.3-5.8q=-1.4q-5.1 equation:

Simplifying
5.4q + -5.3 + -5.8q = -1.4q + -5.1

Reorder the terms:
-5.3 + 5.4q + -5.8q = -1.4q + -5.1

Combine like terms: 5.4q + -5.8q = -0.4q
-5.3 + -0.4q = -1.4q + -5.1

Reorder the terms:
-5.3 + -0.4q = -5.1 + -1.4q

Solving
-5.3 + -0.4q = -5.1 + -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.
-5.3 + -0.4q + 1.4q = -5.1 + -1.4q + 1.4q

Combine like terms: -0.4q + 1.4q = 1q
-5.3 + 1q = -5.1 + -1.4q + 1.4q

Combine like terms: -1.4q + 1.4q = 0.0
-5.3 + 1q = -5.1 + 0.0
-5.3 + 1q = -5.1

Add '5.3' to each side of the equation.
-5.3 + 5.3 + 1q = -5.1 + 5.3

Combine like terms: -5.3 + 5.3 = 0.0
0.0 + 1q = -5.1 + 5.3
1q = -5.1 + 5.3

Combine like terms: -5.1 + 5.3 = 0.2
1q = 0.2

Divide each side by '1'.
q = 0.2

Simplifying
q = 0.2