2(.5+1)=-3(2q-1)+4(2q+1)

Solution for 2(.5+1)=-3(2q-1)+4(2q+1) equation:

Simplifying
2(0.5 + 1) = -3(2q + -1) + 4(2q + 1)

Combine like terms: 0.5 + 1 = 1.5
2(1.5) = -3(2q + -1) + 4(2q + 1)

Multiply 2 * 1.5
3 = -3(2q + -1) + 4(2q + 1)

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

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

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

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

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

Solving
3 = 7 + 2q

Solving for variable 'q'.

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

Add '-2q' to each side of the equation.
3 + -2q = 7 + 2q + -2q

Combine like terms: 2q + -2q = 0
3 + -2q = 7 + 0
3 + -2q = 7

Add '-3' to each side of the equation.
3 + -3 + -2q = 7 + -3

Combine like terms: 3 + -3 = 0
0 + -2q = 7 + -3
-2q = 7 + -3

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

Divide each side by '-2'.
q = -2

Simplifying
q = -2