What is the solution of the equation 5/3−2x=1/6?(1 point)

Answer 1

The solution of the equation is x = 7/15.

To solve for x, we can start by subtracting 1/6 from both sides of the equation:
5/3 - 2x - 1/6 = 0.

To combine the fractions on the left side, we need a common denominator. The least common denominator of 3 and 6 is 6. So, we can rewrite 5/3 as 10/6:
10/6 - 2x - 1/6 = 0.

Now, we can combine like terms on the left side:
(10 - 1)/6 - 2x = 0,
9/6 - 2x = 0.

Next, we can simplify the fraction:
3/2 - 2x = 0.

To isolate the variable, we can subtract 3/2 from both sides of the equation:
-2x = -3/2.

Finally, we can solve for x by dividing both sides of the equation by -2:
x = (-3/2) / (-2) = 3/4 = 0.75.

Therefore, the solution of the equation 5/3 - 2x = 1/6 is x = 7/15.

Answer 2

there is no 7/15

Answer 3

Apologies for the incorrect previous response.

To solve the equation 5/3 - 2x = 1/6, we can start by getting rid of the fractions. We can do this by multiplying every term in the equation by the least common denominator, which is 6.

Multiplying each term by 6, we get:

6 * (5/3) - 6 * (2x) = 6 * (1/6)

This simplifies to:

10 - 12x = 1

Next, we can isolate the term with x by subtracting 10 from both sides:

10 - 10 - 12x = 1 - 10

This simplifies to:

-12x = -9

Finally, we can solve for x by dividing both sides by -12:

x = -9 / -12

This reduces to:

x = 3/4

Therefore, the solution to the equation 5/3 - 2x = 1/6 is x = 3/4.