First, let's find the least common multiple (LCM) of 30 and 105:30 = 2 3 5105 = 3 5 7
LCM(30, 105) = 2 3 5 * 7 = 210
Now, let's solve the equation:3 * (2x - 83) + 45 = 2106x - 249 + 45 = 2106x - 204 = 2106x = 414x = 69
Therefore, the solution to the equation is x = 69.
First, let's find the least common multiple (LCM) of 30 and 105:
30 = 2 3 5
105 = 3 5 7
LCM(30, 105) = 2 3 5 * 7 = 210
Now, let's solve the equation:
3 * (2x - 83) + 45 = 210
6x - 249 + 45 = 210
6x - 204 = 210
6x = 414
x = 69
Therefore, the solution to the equation is x = 69.