7(6+2q)=5(-3q+1)

Solution for 7(6+2q)=5(-3q+1) equation:

Simplifying
7(6 + 2q) = 5(-3q + 1)
(6 * 7 + 2q * 7) = 5(-3q + 1)
(42 + 14q) = 5(-3q + 1)

Reorder the terms:
42 + 14q = 5(1 + -3q)
42 + 14q = (1 * 5 + -3q * 5)
42 + 14q = (5 + -15q)

Solving
42 + 14q = 5 + -15q

Solving for variable 'q'.

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

Add '15q' to each side of the equation.
42 + 14q + 15q = 5 + -15q + 15q

Combine like terms: 14q + 15q = 29q
42 + 29q = 5 + -15q + 15q

Combine like terms: -15q + 15q = 0
42 + 29q = 5 + 0
42 + 29q = 5

Add '-42' to each side of the equation.
42 + -42 + 29q = 5 + -42

Combine like terms: 42 + -42 = 0
0 + 29q = 5 + -42
29q = 5 + -42

Combine like terms: 5 + -42 = -37
29q = -37

Divide each side by '29'.
q = -1.275862069

Simplifying
q = -1.275862069