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

Solution for 2(0.5q+1)=-3(2q-1)+(2q+1) equation:

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

Reorder the terms:
2(1 + 0.5q) = -3(2q + -1) + (2q + 1)
(1 * 2 + 0.5q * 2) = -3(2q + -1) + (2q + 1)
(2 + 1q) = -3(2q + -1) + (2q + 1)

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

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

Remove parenthesis around (1 + 2q)
2 + 1q = 3 + -6q + 1 + 2q

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

Combine like terms: 3 + 1 = 4
2 + 1q = 4 + -6q + 2q

Combine like terms: -6q + 2q = -4q
2 + 1q = 4 + -4q

Solving
2 + 1q = 4 + -4q

Solving for variable 'q'.

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

Add '4q' to each side of the equation.
2 + 1q + 4q = 4 + -4q + 4q

Combine like terms: 1q + 4q = 5q
2 + 5q = 4 + -4q + 4q

Combine like terms: -4q + 4q = 0
2 + 5q = 4 + 0
2 + 5q = 4

Add '-2' to each side of the equation.
2 + -2 + 5q = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 5q = 4 + -2
5q = 4 + -2

Combine like terms: 4 + -2 = 2
5q = 2

Divide each side by '5'.
q = 0.4

Simplifying
q = 0.4