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

Answer 1

To solve the equation x - 9/4 = -3/8, we need to isolate the variable x.
First, we can simplify the equation by finding a common denominator for the fractions on both sides of the equation. The common denominator is 8.

Multiplying the left side of the equation by 2/2 and the right side by 2/2 gives us:
(2/2)(x - 9/4) = (2/2)(-3/8)
2x/2 - 9/4 = -6/8

Simplifying further, we have:
x/2 - 9/4 = -3/4

Next, we can move the -9/4 term to the right side of the equation:
x/2 = -3/4 + 9/4
x/2 = 6/4

Combining and simplifying the right side, we have:
x/2 = 3/2

Multiplying both sides of the equation by 2 gives us:
2 * (x/2) = 2 * (3/2)
x = 6/2
x = 3

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