12(2s-1)-4(-2s-1)=2(s+1)

Solution for 12(2s-1)-4(-2s-1)=2(s+1) equation:

Simplifying
12(2s + -1) + -4(-2s + -1) = 2(s + 1)

Reorder the terms:
12(-1 + 2s) + -4(-2s + -1) = 2(s + 1)
(-1 * 12 + 2s * 12) + -4(-2s + -1) = 2(s + 1)
(-12 + 24s) + -4(-2s + -1) = 2(s + 1)

Reorder the terms:
-12 + 24s + -4(-1 + -2s) = 2(s + 1)
-12 + 24s + (-1 * -4 + -2s * -4) = 2(s + 1)
-12 + 24s + (4 + 8s) = 2(s + 1)

Reorder the terms:
-12 + 4 + 24s + 8s = 2(s + 1)

Combine like terms: -12 + 4 = -8
-8 + 24s + 8s = 2(s + 1)

Combine like terms: 24s + 8s = 32s
-8 + 32s = 2(s + 1)

Reorder the terms:
-8 + 32s = 2(1 + s)
-8 + 32s = (1 * 2 + s * 2)
-8 + 32s = (2 + 2s)

Solving
-8 + 32s = 2 + 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.
-8 + 32s + -2s = 2 + 2s + -2s

Combine like terms: 32s + -2s = 30s
-8 + 30s = 2 + 2s + -2s

Combine like terms: 2s + -2s = 0
-8 + 30s = 2 + 0
-8 + 30s = 2

Add '8' to each side of the equation.
-8 + 8 + 30s = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 30s = 2 + 8
30s = 2 + 8

Combine like terms: 2 + 8 = 10
30s = 10

Divide each side by '30'.
s = 0.3333333333

Simplifying
s = 0.3333333333