T+2(T-3)=45

Solution for T+2(T-3)=45 equation:

Simplifying
T + 2(T + -3) = 45

Reorder the terms:
T + 2(-3 + T) = 45
T + (-3 * 2 + T * 2) = 45
T + (-6 + 2T) = 45

Reorder the terms:
-6 + T + 2T = 45

Combine like terms: T + 2T = 3T
-6 + 3T = 45

Solving
-6 + 3T = 45

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 = 45 + 6

Combine like terms: -6 + 6 = 0
0 + 3T = 45 + 6
3T = 45 + 6

Combine like terms: 45 + 6 = 51
3T = 51

Divide each side by '3'.
T = 17

Simplifying
T = 17