12(5-1)-4(2s-1)=2(s+1)

Solution for 12(5-1)-4(2s-1)=2(s+1) equation:

Simplifying
12(5 + -1) + -4(2s + -1) = 2(s + 1)

Combine like terms: 5 + -1 = 4
12(4) + -4(2s + -1) = 2(s + 1)

Multiply 12 * 4
48 + -4(2s + -1) = 2(s + 1)

Reorder the terms:
48 + -4(-1 + 2s) = 2(s + 1)
48 + (-1 * -4 + 2s * -4) = 2(s + 1)
48 + (4 + -8s) = 2(s + 1)

Combine like terms: 48 + 4 = 52
52 + -8s = 2(s + 1)

Reorder the terms:
52 + -8s = 2(1 + s)
52 + -8s = (1 * 2 + s * 2)
52 + -8s = (2 + 2s)

Solving
52 + -8s = 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.
52 + -8s + -2s = 2 + 2s + -2s

Combine like terms: -8s + -2s = -10s
52 + -10s = 2 + 2s + -2s

Combine like terms: 2s + -2s = 0
52 + -10s = 2 + 0
52 + -10s = 2

Add '-52' to each side of the equation.
52 + -52 + -10s = 2 + -52

Combine like terms: 52 + -52 = 0
0 + -10s = 2 + -52
-10s = 2 + -52

Combine like terms: 2 + -52 = -50
-10s = -50

Divide each side by '-10'.
s = 5

Simplifying
s = 5