5t-20=3(t+1)

Solution for 5t-20=3(t+1) equation:

Simplifying
5t + -20 = 3(t + 1)

Reorder the terms:
-20 + 5t = 3(t + 1)

Reorder the terms:
-20 + 5t = 3(1 + t)
-20 + 5t = (1 * 3 + t * 3)
-20 + 5t = (3 + 3t)

Solving
-20 + 5t = 3 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-20 + 5t + -3t = 3 + 3t + -3t

Combine like terms: 5t + -3t = 2t
-20 + 2t = 3 + 3t + -3t

Combine like terms: 3t + -3t = 0
-20 + 2t = 3 + 0
-20 + 2t = 3

Add '20' to each side of the equation.
-20 + 20 + 2t = 3 + 20

Combine like terms: -20 + 20 = 0
0 + 2t = 3 + 20
2t = 3 + 20

Combine like terms: 3 + 20 = 23
2t = 23

Divide each side by '2'.
t = 11.5

Simplifying
t = 11.5