t+2(t-3)=30

Solution for t+2(t-3)=30 equation:

Simplifying
t + 2(t + -3) = 30

Reorder the terms:
t + 2(-3 + t) = 30
t + (-3 * 2 + t * 2) = 30
t + (-6 + 2t) = 30

Reorder the terms:
-6 + t + 2t = 30

Combine like terms: t + 2t = 3t
-6 + 3t = 30

Solving
-6 + 3t = 30

Solving for variable 't'.

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

Add '6' to each side of the equation.
-6 + 6 + 3t = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 3t = 30 + 6
3t = 30 + 6

Combine like terms: 30 + 6 = 36
3t = 36

Divide each side by '3'.
t = 12

Simplifying
t = 12