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

Answer 1

We can solve the equation by isolating the variable x.

First, let's clear the fractions by multiplying both sides of the equation by the least common denominator which is 6.

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

After multiplying both sides, we get:

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

Now, simplify each term:

10 - 12x = 1

Next, we can isolate the variable x by subtracting 10 from both sides of the equation:

10 - 12x - 10 = 1 - 10

This simplifies to:

-12x = -9

Finally, divide both sides of the equation by -12 to solve for x:

-12x / -12 = -9 / -12

x = 9/12

Simplifying the fraction, we get:

x = 3/4

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