4(2q-1)+10=6(4+q)

Solution for 4(2q-1)+10=6(4+q) equation:

Simplifying
4(2q + -1) + 10 = 6(4 + q)

Reorder the terms:
4(-1 + 2q) + 10 = 6(4 + q)
(-1 * 4 + 2q * 4) + 10 = 6(4 + q)
(-4 + 8q) + 10 = 6(4 + q)

Reorder the terms:
-4 + 10 + 8q = 6(4 + q)

Combine like terms: -4 + 10 = 6
6 + 8q = 6(4 + q)
6 + 8q = (4 * 6 + q * 6)
6 + 8q = (24 + 6q)

Solving
6 + 8q = 24 + 6q

Solving for variable 'q'.

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

Add '-6q' to each side of the equation.
6 + 8q + -6q = 24 + 6q + -6q

Combine like terms: 8q + -6q = 2q
6 + 2q = 24 + 6q + -6q

Combine like terms: 6q + -6q = 0
6 + 2q = 24 + 0
6 + 2q = 24

Add '-6' to each side of the equation.
6 + -6 + 2q = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 2q = 24 + -6
2q = 24 + -6

Combine like terms: 24 + -6 = 18
2q = 18

Divide each side by '2'.
q = 9

Simplifying
q = 9