5.2(2q-1)=7q+14.6

Solution for 5.2(2q-1)=7q+14.6 equation:

Simplifying
5.2(2q + -1) = 7q + 14.6

Reorder the terms:
5.2(-1 + 2q) = 7q + 14.6
(-1 * 5.2 + 2q * 5.2) = 7q + 14.6
(-5.2 + 10.4q) = 7q + 14.6

Reorder the terms:
-5.2 + 10.4q = 14.6 + 7q

Solving
-5.2 + 10.4q = 14.6 + 7q

Solving for variable 'q'.

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

Add '-7q' to each side of the equation.
-5.2 + 10.4q + -7q = 14.6 + 7q + -7q

Combine like terms: 10.4q + -7q = 3.4q
-5.2 + 3.4q = 14.6 + 7q + -7q

Combine like terms: 7q + -7q = 0
-5.2 + 3.4q = 14.6 + 0
-5.2 + 3.4q = 14.6

Add '5.2' to each side of the equation.
-5.2 + 5.2 + 3.4q = 14.6 + 5.2

Combine like terms: -5.2 + 5.2 = 0.0
0.0 + 3.4q = 14.6 + 5.2
3.4q = 14.6 + 5.2

Combine like terms: 14.6 + 5.2 = 19.8
3.4q = 19.8

Divide each side by '3.4'.
q = 5.823529412

Simplifying
q = 5.823529412