3(4q+1)-7q=10

Solution for 3(4q+1)-7q=10 equation:

Simplifying
3(4q + 1) + -7q = 10

Reorder the terms:
3(1 + 4q) + -7q = 10
(1 * 3 + 4q * 3) + -7q = 10
(3 + 12q) + -7q = 10

Combine like terms: 12q + -7q = 5q
3 + 5q = 10

Solving
3 + 5q = 10

Solving for variable 'q'.

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

Add '-3' to each side of the equation.
3 + -3 + 5q = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 5q = 10 + -3
5q = 10 + -3

Combine like terms: 10 + -3 = 7
5q = 7

Divide each side by '5'.
q = 1.4

Simplifying
q = 1.4