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

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

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

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

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

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

Solving
6 = -6 + 3q

Solving for variable 'q'.

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

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

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

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

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

Combine like terms: -6 + -6 = -12
-3q = -12

Divide each side by '-3'.
q = 4

Simplifying
q = 4