4*(T+.5)=5*(T)

Solution for 4*(T+.5)=5*(T) equation:

Simplifying
4(T + 0.5) = 5(T)

Reorder the terms:
4(0.5 + T) = 5(T)
(0.5 * 4 + T * 4) = 5(T)
(2 + 4T) = 5(T)

Solving
2 + 4T = 5T

Solving for variable 'T'.

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

Add '-5T' to each side of the equation.
2 + 4T + -5T = 5T + -5T

Combine like terms: 4T + -5T = -1T
2 + -1T = 5T + -5T

Combine like terms: 5T + -5T = 0
2 + -1T = 0

Add '-2' to each side of the equation.
2 + -2 + -1T = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1T = 0 + -2
-1T = 0 + -2

Combine like terms: 0 + -2 = -2
-1T = -2

Divide each side by '-1'.
T = 2

Simplifying
T = 2