Question

What is the value of x in the equation One-third x minus two-thirds = negative 18?

–56
–52
52
56

Answer 1

the value of x in the equation is -52.

Explanation:

To find the value of x in the equation:

(1/3)x - (2/3) = -18

We can start by isolating the variable x.

Add (2/3) to both sides of the equation:

(1/3)x = -18 + (2/3)

Now, we need to find a common denominator for the fractions on the right side:

(1/3)x = (-18 * 3 + 2)/3

Simplifying the expression on the right side:

(1/3)x = (-54 + 2)/3

(1/3)x = -52/3

To eliminate the fraction, we can multiply both sides of the equation by 3:

3 * (1/3)x = 3 * (-52/3)

This simplifies to:

x = -52