3t+2(t+1)=12

Solution for 3t+2(t+1)=12 equation:

Simplifying
3t + 2(t + 1) = 12

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

Reorder the terms:
2 + 3t + 2t = 12

Combine like terms: 3t + 2t = 5t
2 + 5t = 12

Solving
2 + 5t = 12

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 + 5t = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 5t = 12 + -2
5t = 12 + -2

Combine like terms: 12 + -2 = 10
5t = 10

Divide each side by '5'.
t = 2

Simplifying
t = 2