0.5(s-12)=0.25(s+16)

Solution for 0.5(s-12)=0.25(s+16) equation:

Simplifying
0.5(s + -12) = 0.25(s + 16)

Reorder the terms:
0.5(-12 + s) = 0.25(s + 16)
(-12 * 0.5 + s * 0.5) = 0.25(s + 16)
(-6 + 0.5s) = 0.25(s + 16)

Reorder the terms:
-6 + 0.5s = 0.25(16 + s)
-6 + 0.5s = (16 * 0.25 + s * 0.25)
-6 + 0.5s = (4 + 0.25s)

Solving
-6 + 0.5s = 4 + 0.25s

Solving for variable 's'.

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

Add '-0.25s' to each side of the equation.
-6 + 0.5s + -0.25s = 4 + 0.25s + -0.25s

Combine like terms: 0.5s + -0.25s = 0.25s
-6 + 0.25s = 4 + 0.25s + -0.25s

Combine like terms: 0.25s + -0.25s = 0.00
-6 + 0.25s = 4 + 0.00
-6 + 0.25s = 4

Add '6' to each side of the equation.
-6 + 6 + 0.25s = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 0.25s = 4 + 6
0.25s = 4 + 6

Combine like terms: 4 + 6 = 10
0.25s = 10

Divide each side by '0.25'.
s = 40

Simplifying
s = 40