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

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

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

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

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

Combine like terms: 6q + -1q = 5q
3 + 5q = 2q + 3(q + 1)

Reorder the terms:
3 + 5q = 2q + 3(1 + q)
3 + 5q = 2q + (1 * 3 + q * 3)
3 + 5q = 2q + (3 + 3q)

Reorder the terms:
3 + 5q = 3 + 2q + 3q

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

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.