Question

What number should be added to both sides of the equation x − 7/8 = −5 to find the value of x ? pls explain

Answer 1

To find the value of x, you need to isolate the variable on one side of the equation. In this case, you have the equation x - 7/8 = -5.

To isolate x, you need to cancel out the constant term (-7/8) on the left side of the equation. To do this, you can add 7/8 to both sides of the equation.

By adding 7/8 to both sides, the equation becomes:
x - 7/8 + 7/8 = -5 + 7/8

On the left side, the -7/8 and +7/8 cancel out, leaving us with just x.
x = -5 + 7/8

To simplify further, you need to find a common denominator to add -5 and 7/8. The common denominator of -5 and 7/8 is 8. So, you need to convert -5 to an equivalent fraction with a denominator of 8.
-5 = -5 * 8/8 = -40/8

Now the equation becomes:
x = -40/8 + 7/8

Adding the fractions with the common denominator of 8, you get:
x = (-40 + 7)/8 = -33/8

Therefore, the value of x is -33/8.