6q-(9-3)=2q+3(q+1)

Solution for 6q-(9-3)=2q+3(q+1) equation:

Simplifying
6q + -1(9 + -3) = 2q + 3(q + 1)

Combine like terms: 9 + -3 = 6
6q + -1(6) = 2q + 3(q + 1)

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

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

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

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

Combine like terms: 2q + 3q = 5q
-6 + 6q = 3 + 5q

Solving
-6 + 6q = 3 + 5q

Solving for variable 'q'.

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

Add '-5q' to each side of the equation.
-6 + 6q + -5q = 3 + 5q + -5q

Combine like terms: 6q + -5q = 1q
-6 + 1q = 3 + 5q + -5q

Combine like terms: 5q + -5q = 0
-6 + 1q = 3 + 0
-6 + 1q = 3

Add '6' to each side of the equation.
-6 + 6 + 1q = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 1q = 3 + 6
1q = 3 + 6

Combine like terms: 3 + 6 = 9
1q = 9

Divide each side by '1'.
q = 9

Simplifying
q = 9