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

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

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

Reorder the terms:
4(1 + 2t) + t = 3(t + 2)
(1 * 4 + 2t * 4) + t = 3(t + 2)
(4 + 8t) + t = 3(t + 2)

Combine like terms: 8t + t = 9t
4 + 9t = 3(t + 2)

Reorder the terms:
4 + 9t = 3(2 + t)
4 + 9t = (2 * 3 + t * 3)
4 + 9t = (6 + 3t)

Solving
4 + 9t = 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.
4 + 9t + -3t = 6 + 3t + -3t

Combine like terms: 9t + -3t = 6t
4 + 6t = 6 + 3t + -3t

Combine like terms: 3t + -3t = 0
4 + 6t = 6 + 0
4 + 6t = 6

Add '-4' to each side of the equation.
4 + -4 + 6t = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 6t = 6 + -4
6t = 6 + -4

Combine like terms: 6 + -4 = 2
6t = 2

Divide each side by '6'.
t = 0.3333333333

Simplifying
t = 0.3333333333