solve this equation and tell whether the answer turns out to be a false equation or identity

Question

the quantity two times the quantity x minus nine divided by three equals fourteen

Answer 1

The equation is:

2(x - 9) / 3 = 14

To solve for x, first multiply both sides of the equation by 3 to get rid of the fraction:

2(x - 9) = 42

Next, distribute the 2:

2x - 18 = 42

Add 18 to both sides:

2x = 60

Divide by 2:

x = 30

Now substitute x = 30 back into the original equation:

2(30 - 9) / 3 = 14
2(21) / 3 = 14
42 / 3 = 14
14 = 14

Since the equation is true when x = 30, it is not a false equation or identity. The solution is x = 30.