Question

What number should be added to both sides of the equation x − 7/8 = −5x − 7/8 = −5 to find the value of x?(1 point) help

Answer 1

thats wrong

Answer 2

To find the value of x, we need to isolate x on one side of the equation.

First, let's add 5x to both sides of the equation to eliminate the -5x term:

x - 7/8 + 5x = -5

Combining like terms on the left side:

6x - 7/8 = -5

Now, we need to add 7/8 to both sides of the equation to eliminate the -7/8 term:

6x - 7/8 + 7/8 = -5 + 7/8

Simplifying the expression:

6x = -5 + 7/8

To find the common denominator between -5 and 7/8, we multiply 8 by -5, which gives us -40.

Therefore, the equation becomes:

6x = -40/8 + 7/8

Simplifying the right side:

6x = -40/8 + 7/8

6x = -33/8

Finally, to solve for x, we divide both sides of the equation by 6:

(6x)/6 = (-33/8)/6

x = -33/48

Therefore, the value of x is -33/48.

Answer 3

Apologies for the mistake. Let's solve it correctly:

To find the value of x, we need to isolate it on one side of the equation.

The given equation is:
x - 7/8 = -5

To isolate x, we can add 7/8 to both sides of the equation:

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

This simplifies to:

x = -5 + 7/8

Now, let's find a common denominator for -5 and 7/8 which is 8:

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

Simplifying the numerator:

x = -40/8 + 7/8

Combining the fractions:

x = (-40 + 7)/8

Calculating the numerator:

x = -33/8

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