2(4t-3)+t=24-t

Solution for 2(4t-3)+t=24-t equation:

Simplifying
2(4t + -3) + t = 24 + -1t

Reorder the terms:
2(-3 + 4t) + t = 24 + -1t
(-3 * 2 + 4t * 2) + t = 24 + -1t
(-6 + 8t) + t = 24 + -1t

Combine like terms: 8t + t = 9t
-6 + 9t = 24 + -1t

Solving
-6 + 9t = 24 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-6 + 9t + t = 24 + -1t + t

Combine like terms: 9t + t = 10t
-6 + 10t = 24 + -1t + t

Combine like terms: -1t + t = 0
-6 + 10t = 24 + 0
-6 + 10t = 24

Add '6' to each side of the equation.
-6 + 6 + 10t = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 10t = 24 + 6
10t = 24 + 6

Combine like terms: 24 + 6 = 30
10t = 30

Divide each side by '10'.
t = 3

Simplifying
t = 3