8(t-3)-3t=3(t+2)

Solution for 8(t-3)-3t=3(t+2) equation:

Simplifying
8(t + -3) + -3t = 3(t + 2)

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

Combine like terms: 8t + -3t = 5t
-24 + 5t = 3(t + 2)

Reorder the terms:
-24 + 5t = 3(2 + t)
-24 + 5t = (2 * 3 + t * 3)
-24 + 5t = (6 + 3t)

Solving
-24 + 5t = 6 + 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.
-24 + 5t + -3t = 6 + 3t + -3t

Combine like terms: 5t + -3t = 2t
-24 + 2t = 6 + 3t + -3t

Combine like terms: 3t + -3t = 0
-24 + 2t = 6 + 0
-24 + 2t = 6

Add '24' to each side of the equation.
-24 + 24 + 2t = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 2t = 6 + 24
2t = 6 + 24

Combine like terms: 6 + 24 = 30
2t = 30

Divide each side by '2'.
t = 15

Simplifying
t = 15