What is the solution of the equation x − 9/4 = −3/8

1 answer

To solve the equation x - 9/4 = -3/8, we need to isolate the variable x.

Given:
x - 9/4 = -3/8

To eliminate the fractions, we can multiply the entire equation by the least common denominator (LCD) of 8 and 4, which is 8.

8(x - 9/4) = 8(-3/8)

This simplifies to:
8x - 18/1 = -3

Next, we can bring the constant term (-18/1) to the other side of the equation by adding 18/1 (which is the same as 18) to both sides:

8x - 18/1 + 18/1 = -3 + 18
8x = 15

Finally, we divide both sides by 8 to isolate x:

8x/8 = 15/8
x = 15/8

Thus, the solution to the equation x - 9/4 = -3/8 is x = 15/8.