Q+2=-3(2q-1)+4(2q+1)

Solution for Q+2=-3(2q-1)+4(2q+1) equation:

Simplifying
Q + 2 = -3(2q + -1) + 4(2q + 1)

Reorder the terms:
2 + Q = -3(2q + -1) + 4(2q + 1)

Reorder the terms:
2 + Q = -3(-1 + 2q) + 4(2q + 1)
2 + Q = (-1 * -3 + 2q * -3) + 4(2q + 1)
2 + Q = (3 + -6q) + 4(2q + 1)

Reorder the terms:
2 + Q = 3 + -6q + 4(1 + 2q)
2 + Q = 3 + -6q + (1 * 4 + 2q * 4)
2 + Q = 3 + -6q + (4 + 8q)

Reorder the terms:
2 + Q = 3 + 4 + -6q + 8q

Combine like terms: 3 + 4 = 7
2 + Q = 7 + -6q + 8q

Combine like terms: -6q + 8q = 2q
2 + Q = 7 + 2q

Solving
2 + Q = 7 + 2q

Solving for variable 'Q'.

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

Add '-2' to each side of the equation.
2 + -2 + Q = 7 + -2 + 2q

Combine like terms: 2 + -2 = 0
0 + Q = 7 + -2 + 2q
Q = 7 + -2 + 2q

Combine like terms: 7 + -2 = 5
Q = 5 + 2q

Simplifying
Q = 5 + 2q