5t+2(t+1)=30

Solution for 5t+2(t+1)=30 equation:

Simplifying
5t + 2(t + 1) = 30

Reorder the terms:
5t + 2(1 + t) = 30
5t + (1 * 2 + t * 2) = 30
5t + (2 + 2t) = 30

Reorder the terms:
2 + 5t + 2t = 30

Combine like terms: 5t + 2t = 7t
2 + 7t = 30

Solving
2 + 7t = 30

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 7t = 30 + -2

Combine like terms: 2 + -2 = 0
0 + 7t = 30 + -2
7t = 30 + -2

Combine like terms: 30 + -2 = 28
7t = 28

Divide each side by '7'.
t = 4

Simplifying
t = 4