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

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

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

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

Reorder the terms:
6 + 4t = 3(-2 + 4t)
6 + 4t = (-2 * 3 + 4t * 3)
6 + 4t = (-6 + 12t)

Solving
6 + 4t = -6 + 12t

Solving for variable 't'.

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

Add '-12t' to each side of the equation.
6 + 4t + -12t = -6 + 12t + -12t

Combine like terms: 4t + -12t = -8t
6 + -8t = -6 + 12t + -12t

Combine like terms: 12t + -12t = 0
6 + -8t = -6 + 0
6 + -8t = -6

Add '-6' to each side of the equation.
6 + -6 + -8t = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -8t = -6 + -6
-8t = -6 + -6

Combine like terms: -6 + -6 = -12
-8t = -12

Divide each side by '-8'.
t = 1.5

Simplifying
t = 1.5