6.25(t-24)=.25(t+12)

Solution for 6.25(t-24)=.25(t+12) equation:

Simplifying
6.25(t + -24) = 0.25(t + 12)

Reorder the terms:
6.25(-24 + t) = 0.25(t + 12)
(-24 * 6.25 + t * 6.25) = 0.25(t + 12)
(-150 + 6.25t) = 0.25(t + 12)

Reorder the terms:
-150 + 6.25t = 0.25(12 + t)
-150 + 6.25t = (12 * 0.25 + t * 0.25)
-150 + 6.25t = (3 + 0.25t)

Solving
-150 + 6.25t = 3 + 0.25t

Solving for variable 't'.

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

Add '-0.25t' to each side of the equation.
-150 + 6.25t + -0.25t = 3 + 0.25t + -0.25t

Combine like terms: 6.25t + -0.25t = 6t
-150 + 6t = 3 + 0.25t + -0.25t

Combine like terms: 0.25t + -0.25t = 0.00
-150 + 6t = 3 + 0.00
-150 + 6t = 3

Add '150' to each side of the equation.
-150 + 150 + 6t = 3 + 150

Combine like terms: -150 + 150 = 0
0 + 6t = 3 + 150
6t = 3 + 150

Combine like terms: 3 + 150 = 153
6t = 153

Divide each side by '6'.
t = 25.5

Simplifying
t = 25.5