2t+1=3(t-4)

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

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

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

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

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

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

Combine like terms: 3t + -3t = 0
1 + -1t = -12 + 0
1 + -1t = -12

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

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

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

Divide each side by '-1'.
t = 13

Simplifying
t = 13