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

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

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

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

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

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

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

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

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

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

Solving
4 + -4q = 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.
4 + -4q + -2q = 7 + 2q + -2q

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

Combine like terms: 2q + -2q = 0
4 + -6q = 7 + 0
4 + -6q = 7

Add '-4' to each side of the equation.
4 + -4 + -6q = 7 + -4

Combine like terms: 4 + -4 = 0
0 + -6q = 7 + -4
-6q = 7 + -4

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

Divide each side by '-6'.
q = -0.5

Simplifying
q = -0.5