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

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

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

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

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

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

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

Combine like terms: 3 + 4 = 7
2 + 1s = 7 + -6s + 8s

Combine like terms: -6s + 8s = 2s
2 + 1s = 7 + 2s

Solving
2 + 1s = 7 + 2s

Solving for variable 's'.

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

Add '-2s' to each side of the equation.
2 + 1s + -2s = 7 + 2s + -2s

Combine like terms: 1s + -2s = -1s
2 + -1s = 7 + 2s + -2s

Combine like terms: 2s + -2s = 0
2 + -1s = 7 + 0
2 + -1s = 7

Add '-2' to each side of the equation.
2 + -2 + -1s = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -1s = 7 + -2
-1s = 7 + -2

Combine like terms: 7 + -2 = 5
-1s = 5

Divide each side by '-1'.
s = -5

Simplifying
s = -5