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

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

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

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

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

Solving
3 + 3t = 8 + 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.
3 + 3t + -2t = 8 + 2t + -2t

Combine like terms: 3t + -2t = 1t
3 + 1t = 8 + 2t + -2t

Combine like terms: 2t + -2t = 0
3 + 1t = 8 + 0
3 + 1t = 8

Add '-3' to each side of the equation.
3 + -3 + 1t = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 1t = 8 + -3
1t = 8 + -3

Combine like terms: 8 + -3 = 5
1t = 5

Divide each side by '1'.
t = 5

Simplifying
t = 5