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

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

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

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

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

Combine like terms: 4 + 2 = 6
6 + 8t = 3(t + 2)

Reorder the terms:
6 + 8t = 3(2 + t)
6 + 8t = (2 * 3 + t * 3)
6 + 8t = (6 + 3t)

Add '-6' to each side of the equation.
6 + -6 + 8t = 6 + -6 + 3t

Combine like terms: 6 + -6 = 0
0 + 8t = 6 + -6 + 3t
8t = 6 + -6 + 3t

Combine like terms: 6 + -6 = 0
8t = 0 + 3t
8t = 3t

Solving
8t = 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.
8t + -3t = 3t + -3t

Combine like terms: 8t + -3t = 5t
5t = 3t + -3t

Combine like terms: 3t + -3t = 0
5t = 0

Divide each side by '5'.
t = 0

Simplifying
t = 0