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

Solution for 3(2-3t)=2(4t+1)-1 equation:

Simplifying
3(2 + -3t) = 2(4t + 1) + -1
(2 * 3 + -3t * 3) = 2(4t + 1) + -1
(6 + -9t) = 2(4t + 1) + -1

Reorder the terms:
6 + -9t = 2(1 + 4t) + -1
6 + -9t = (1 * 2 + 4t * 2) + -1
6 + -9t = (2 + 8t) + -1

Reorder the terms:
6 + -9t = 2 + -1 + 8t

Combine like terms: 2 + -1 = 1
6 + -9t = 1 + 8t

Solving
6 + -9t = 1 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
6 + -9t + -8t = 1 + 8t + -8t

Combine like terms: -9t + -8t = -17t
6 + -17t = 1 + 8t + -8t

Combine like terms: 8t + -8t = 0
6 + -17t = 1 + 0
6 + -17t = 1

Add '-6' to each side of the equation.
6 + -6 + -17t = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -17t = 1 + -6
-17t = 1 + -6

Combine like terms: 1 + -6 = -5
-17t = -5

Divide each side by '-17'.
t = 0.2941176471

Simplifying
t = 0.2941176471