3 - 5/3x = 18

1 answer

To solve this equation, we can start by isolating the variable x.

First, let's distribute the 5/3 to the x:

3 - (5/3)x = 18

Next, let's get rid of the constant term 3 by subtracting 3 from both sides:

- (5/3)x = 18 - 3

This simplifies to:

- (5/3)x = 15

To get rid of the fraction, we can multiply both sides of the equation by the reciprocal of 5/3, which is 3/5:

(- (5/3)x) * (3/5) = 15 * (3/5)

This gives us:

-x = 9

Finally, to solve for x, we can multiply both sides by -1:

(-1)(-x) = (-1)(9)

This yields:

x = -9

Therefore, the solution to the equation is x = -9.