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

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

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

Reorder the terms:
4(5 + T) = 5(T)
(5 * 4 + T * 4) = 5(T)
(20 + 4T) = 5(T)

Solving
20 + 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.
20 + 4T + -5T = 5T + -5T

Combine like terms: 4T + -5T = -1T
20 + -1T = 5T + -5T

Combine like terms: 5T + -5T = 0
20 + -1T = 0

Add '-20' to each side of the equation.
20 + -20 + -1T = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1T = 0 + -20
-1T = 0 + -20

Combine like terms: 0 + -20 = -20
-1T = -20

Divide each side by '-1'.
T = 20

Simplifying
T = 20