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

Answer 1

To solve the equation 5/3 - 2x = 1/6, we can move the -2x term to the other side by subtracting 5/3 from both sides:

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

Simplifying the left side:

-2x = 1/6 - 5/3

To find a common denominator for 1/6 - 5/3, we can multiply the first fraction by 3/3 and the second fraction by 6/6:

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

Simplifying the right side:

-2x = 3/18 - 30/18

Combining the fractions:

-2x = (-27/18)

Now we can divide both sides by -2:

(-2x)/-2 = (-27/18)/-2

Simplifying:

x = 27/36

This can be further simplified by dividing both numerator and denominator by their greatest common divisor, which is 9:

x = 3/4

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