3(t+2)+9=2(t+17)

Solution for 3(t+2)+9=2(t+17) equation:

Simplifying
3(t + 2) + 9 = 2(t + 17)

Reorder the terms:
3(2 + t) + 9 = 2(t + 17)
(2 * 3 + t * 3) + 9 = 2(t + 17)
(6 + 3t) + 9 = 2(t + 17)

Reorder the terms:
6 + 9 + 3t = 2(t + 17)

Combine like terms: 6 + 9 = 15
15 + 3t = 2(t + 17)

Reorder the terms:
15 + 3t = 2(17 + t)
15 + 3t = (17 * 2 + t * 2)
15 + 3t = (34 + 2t)

Solving
15 + 3t = 34 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
15 + 3t + -2t = 34 + 2t + -2t

Combine like terms: 3t + -2t = 1t
15 + 1t = 34 + 2t + -2t

Combine like terms: 2t + -2t = 0
15 + 1t = 34 + 0
15 + 1t = 34

Add '-15' to each side of the equation.
15 + -15 + 1t = 34 + -15

Combine like terms: 15 + -15 = 0
0 + 1t = 34 + -15
1t = 34 + -15

Combine like terms: 34 + -15 = 19
1t = 19

Divide each side by '1'.
t = 19

Simplifying
t = 19