2(t+3)=5t+14

Solution for 2(t+3)=5t+14 equation:

Simplifying
2(t + 3) = 5t + 14

Reorder the terms:
2(3 + t) = 5t + 14
(3 * 2 + t * 2) = 5t + 14
(6 + 2t) = 5t + 14

Reorder the terms:
6 + 2t = 14 + 5t

Solving
6 + 2t = 14 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
6 + 2t + -5t = 14 + 5t + -5t

Combine like terms: 2t + -5t = -3t
6 + -3t = 14 + 5t + -5t

Combine like terms: 5t + -5t = 0
6 + -3t = 14 + 0
6 + -3t = 14

Add '-6' to each side of the equation.
6 + -6 + -3t = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -3t = 14 + -6
-3t = 14 + -6

Combine like terms: 14 + -6 = 8
-3t = 8

Divide each side by '-3'.
t = -2.666666667

Simplifying
t = -2.666666667