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

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

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

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

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

Solving
-2 + 6t = 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.
-2 + 6t + -3t = 6 + 3t + -3t

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

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

Add '2' to each side of the equation.
-2 + 2 + 3t = 6 + 2

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

Combine like terms: 6 + 2 = 8
3t = 8

Divide each side by '3'.
t = 2.666666667

Simplifying
t = 2.666666667