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

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

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

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

Reorder the terms:
6 + 4t = 3(-8 + 3t)
6 + 4t = (-8 * 3 + 3t * 3)
6 + 4t = (-24 + 9t)

Solving
6 + 4t = -24 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
6 + 4t + -9t = -24 + 9t + -9t

Combine like terms: 4t + -9t = -5t
6 + -5t = -24 + 9t + -9t

Combine like terms: 9t + -9t = 0
6 + -5t = -24 + 0
6 + -5t = -24

Add '-6' to each side of the equation.
6 + -6 + -5t = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -5t = -24 + -6
-5t = -24 + -6

Combine like terms: -24 + -6 = -30
-5t = -30

Divide each side by '-5'.
t = 6

Simplifying
t = 6