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

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

Simplifying
6(q + -1) = 6q + 2 + 3q

Reorder the terms:
6(-1 + q) = 6q + 2 + 3q
(-1 * 6 + q * 6) = 6q + 2 + 3q
(-6 + 6q) = 6q + 2 + 3q

Reorder the terms:
-6 + 6q = 2 + 6q + 3q

Combine like terms: 6q + 3q = 9q
-6 + 6q = 2 + 9q

Solving
-6 + 6q = 2 + 9q

Solving for variable 'q'.

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

Add '-9q' to each side of the equation.
-6 + 6q + -9q = 2 + 9q + -9q

Combine like terms: 6q + -9q = -3q
-6 + -3q = 2 + 9q + -9q

Combine like terms: 9q + -9q = 0
-6 + -3q = 2 + 0
-6 + -3q = 2

Add '6' to each side of the equation.
-6 + 6 + -3q = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -3q = 2 + 6
-3q = 2 + 6

Combine like terms: 2 + 6 = 8
-3q = 8

Divide each side by '-3'.
q = -2.666666667

Simplifying
q = -2.666666667