3(t-4)=2t+1

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

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

Reorder the terms:
3(-4 + t) = 2t + 1
(-4 * 3 + t * 3) = 2t + 1
(-12 + 3t) = 2t + 1

Reorder the terms:
-12 + 3t = 1 + 2t

Solving
-12 + 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.
-12 + 3t + -2t = 1 + 2t + -2t

Combine like terms: 3t + -2t = 1t
-12 + 1t = 1 + 2t + -2t

Combine like terms: 2t + -2t = 0
-12 + 1t = 1 + 0
-12 + 1t = 1

Add '12' to each side of the equation.
-12 + 12 + 1t = 1 + 12

Combine like terms: -12 + 12 = 0
0 + 1t = 1 + 12
1t = 1 + 12

Combine like terms: 1 + 12 = 13
1t = 13

Divide each side by '1'.
t = 13

Simplifying
t = 13