t+.5t=t+t-5

Solution for t+.5t=t+t-5 equation:

Simplifying
t + 0.5t = t + t + -5

Combine like terms: t + 0.5t = 1.5t
1.5t = t + t + -5

Reorder the terms:
1.5t = -5 + t + t

Combine like terms: t + t = 2t
1.5t = -5 + 2t

Solving
1.5t = -5 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
1.5t + -2t = -5 + 2t + -2t

Combine like terms: 1.5t + -2t = -0.5t
-0.5t = -5 + 2t + -2t

Combine like terms: 2t + -2t = 0
-0.5t = -5 + 0
-0.5t = -5

Divide each side by '-0.5'.
t = 10

Simplifying
t = 10