.5(t-1)=.25(t-3)

Solution for .5(t-1)=.25(t-3) equation:

Simplifying
0.5(t + -1) = 0.25(t + -3)

Reorder the terms:
0.5(-1 + t) = 0.25(t + -3)
(-1 * 0.5 + t * 0.5) = 0.25(t + -3)
(-0.5 + 0.5t) = 0.25(t + -3)

Reorder the terms:
-0.5 + 0.5t = 0.25(-3 + t)
-0.5 + 0.5t = (-3 * 0.25 + t * 0.25)
-0.5 + 0.5t = (-0.75 + 0.25t)

Solving
-0.5 + 0.5t = -0.75 + 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.
-0.5 + 0.5t + -0.25t = -0.75 + 0.25t + -0.25t

Combine like terms: 0.5t + -0.25t = 0.25t
-0.5 + 0.25t = -0.75 + 0.25t + -0.25t

Combine like terms: 0.25t + -0.25t = 0.00
-0.5 + 0.25t = -0.75 + 0.00
-0.5 + 0.25t = -0.75

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.25t = -0.75 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.25t = -0.75 + 0.5
0.25t = -0.75 + 0.5

Combine like terms: -0.75 + 0.5 = -0.25
0.25t = -0.25

Divide each side by '0.25'.
t = -1

Simplifying
t = -1