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

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

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

Reorder the terms:
3(-3 + t) = (2t + 1)
(-3 * 3 + t * 3) = (2t + 1)
(-9 + 3t) = (2t + 1)

Reorder the terms:
-9 + 3t = (1 + 2t)

Remove parenthesis around (1 + 2t)
-9 + 3t = 1 + 2t

Solving
-9 + 3t = 1 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
-9 + 3t + -2t = 1 + 2t + -2t

Combine like terms: 3t + -2t = 1t
-9 + 1t = 1 + 2t + -2t

Combine like terms: 2t + -2t = 0
-9 + 1t = 1 + 0
-9 + 1t = 1

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

Combine like terms: -9 + 9 = 0
0 + 1t = 1 + 9
1t = 1 + 9

Combine like terms: 1 + 9 = 10
1t = 10

Divide each side by '1'.
t = 10

Simplifying
t = 10