2t-1=3(t+2)

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

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

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

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

Solving
-1 + 2t = 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.
-1 + 2t + -3t = 6 + 3t + -3t

Combine like terms: 2t + -3t = -1t
-1 + -1t = 6 + 3t + -3t

Combine like terms: 3t + -3t = 0
-1 + -1t = 6 + 0
-1 + -1t = 6

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

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

Combine like terms: 6 + 1 = 7
-1t = 7

Divide each side by '-1'.
t = -7

Simplifying
t = -7