What is the solution of the equation 5/3 - 2x = 1/6?

Answer 1

To find the solution of the equation, we need to isolate the variable x.

First, let's get rid of the fractions by multiplying every term by the least common denominator (LCD), which is 6.

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

Simplifying both sides:
10 - 12x = 1

Next, let's isolate x by moving the constant term to the opposite side of the equation:

-12x = 1 - 10
-12x = -9

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

x = -9/-12
x = 3/4

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