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

Solution for 2(0.5q+1)=3(2q-1)+4(2q+1) equation:

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

Reorder the terms:
2(1 + 0.5q) = 3(2q + -1) + 4(2q + 1)
(1 * 2 + 0.5q * 2) = 3(2q + -1) + 4(2q + 1)
(2 + 1q) = 3(2q + -1) + 4(2q + 1)

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

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

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

Combine like terms: -3 + 4 = 1
2 + 1q = 1 + 6q + 8q

Combine like terms: 6q + 8q = 14q
2 + 1q = 1 + 14q

Solving
2 + 1q = 1 + 14q

Solving for variable 'q'.

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

Add '-14q' to each side of the equation.
2 + 1q + -14q = 1 + 14q + -14q

Combine like terms: 1q + -14q = -13q
2 + -13q = 1 + 14q + -14q

Combine like terms: 14q + -14q = 0
2 + -13q = 1 + 0
2 + -13q = 1

Add '-2' to each side of the equation.
2 + -2 + -13q = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -13q = 1 + -2
-13q = 1 + -2

Combine like terms: 1 + -2 = -1
-13q = -1

Divide each side by '-13'.
q = 0.07692307692

Simplifying
q = 0.07692307692