5(t+2)=(t+23)

Solution for 5(t+2)=(t+23) equation:

Simplifying
5(t + 2) = (t + 23)

Reorder the terms:
5(2 + t) = (t + 23)
(2 * 5 + t * 5) = (t + 23)
(10 + 5t) = (t + 23)

Reorder the terms:
10 + 5t = (23 + t)

Remove parenthesis around (23 + t)
10 + 5t = 23 + t

Solving
10 + 5t = 23 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
10 + 5t + -1t = 23 + t + -1t

Combine like terms: 5t + -1t = 4t
10 + 4t = 23 + t + -1t

Combine like terms: t + -1t = 0
10 + 4t = 23 + 0
10 + 4t = 23

Add '-10' to each side of the equation.
10 + -10 + 4t = 23 + -10

Combine like terms: 10 + -10 = 0
0 + 4t = 23 + -10
4t = 23 + -10

Combine like terms: 23 + -10 = 13
4t = 13

Divide each side by '4'.
t = 3.25

Simplifying
t = 3.25