9(2t+7)+3(t+5)=120

Solution for 9(2t+7)+3(t+5)=120 equation:

Simplifying
9(2t + 7) + 3(t + 5) = 120

Reorder the terms:
9(7 + 2t) + 3(t + 5) = 120
(7 * 9 + 2t * 9) + 3(t + 5) = 120
(63 + 18t) + 3(t + 5) = 120

Reorder the terms:
63 + 18t + 3(5 + t) = 120
63 + 18t + (5 * 3 + t * 3) = 120
63 + 18t + (15 + 3t) = 120

Reorder the terms:
63 + 15 + 18t + 3t = 120

Combine like terms: 63 + 15 = 78
78 + 18t + 3t = 120

Combine like terms: 18t + 3t = 21t
78 + 21t = 120

Solving
78 + 21t = 120

Solving for variable 't'.

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

Add '-78' to each side of the equation.
78 + -78 + 21t = 120 + -78

Combine like terms: 78 + -78 = 0
0 + 21t = 120 + -78
21t = 120 + -78

Combine like terms: 120 + -78 = 42
21t = 42

Divide each side by '21'.
t = 2

Simplifying
t = 2