6(2q-1)=2q+8q

Solution for 6(2q-1)=2q+8q equation:

Simplifying
6(2q + -1) = 2q + 8q

Reorder the terms:
6(-1 + 2q) = 2q + 8q
(-1 * 6 + 2q * 6) = 2q + 8q
(-6 + 12q) = 2q + 8q

Combine like terms: 2q + 8q = 10q
-6 + 12q = 10q

Solving
-6 + 12q = 10q

Solving for variable 'q'.

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

Add '-10q' to each side of the equation.
-6 + 12q + -10q = 10q + -10q

Combine like terms: 12q + -10q = 2q
-6 + 2q = 10q + -10q

Combine like terms: 10q + -10q = 0
-6 + 2q = 0

Add '6' to each side of the equation.
-6 + 6 + 2q = 0 + 6

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

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

Divide each side by '2'.
q = 3

Simplifying
q = 3