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

1 answer

To find the value of x in the equation x - 7/8 = -5, we need to add the same number to both sides of the equation.
To do this, we can add 7/8 to both sides of the equation:

(x - 7/8) + 7/8 = -5 + 7/8

Combining like terms on the left side of the equation, the -7/8 and +7/8 cancel each other out:

x = -5 + 7/8

Now, we need to find a common denominator for -5 and 7/8, which is 8. So, rewrite -5 as an equivalent fraction over 8:

x = -5 * 8/8 + 7/8

Simplifying the expression:

x = -40/8 + 7/8

Now, add the two fractions together:

x = (-40 + 7)/8

x = -33/8

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