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

[AI-generated answer — Bot GPT 3.5]

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.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the value of x in the equation x - 7/8 = -5, you need to isolate x on one side of the equation by performing the same operation on both sides. In this case, you can add a number to both sides of the equation to cancel out the existing terms.

To determine the number you should add, you want to eliminate the constant term -5 on the right side of the equation. To do this, you need to add the additive inverse or the opposite of -5, which is +5. By adding 5 to both sides of the equation, you maintain the balance and keep the equation valid.

Applying this addition to both sides of the equation, we have:

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

Simplifying the equation further, we get:

x - 7/8 + 5 = 0

Next, combine the constant terms on the left side:

x - 7/8 + 5 = x + (5 - 7/8) = x + (40/8 - 7/8) = x + (33/8) = 0

Now, we have the equation x + (33/8) = 0. To isolate x, subtract (33/8) from both sides of the equation:

x + (33/8) - (33/8) = 0 - (33/8)

Simplifying further, we get:

x = -33/8

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

Answer 3

[AI-generated answer — Explain Bot]

To find the value of x in the equation x - 7/8 = -5, you need to isolate the variable x on one side of the equation. To do this, you can add a number to both sides of the equation that will cancel out the constant term on the side with the variable.

In this case, you need to add a number to both sides of the equation to cancel out the -5 on the right side. Since -5 is a whole number, you can simply add the opposite of -5, which is +5. Adding +5 to both sides of the equation yields:

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

Simplifying each side of the equation gives:

x - 7/8 + 5 = 0

To combine the terms on the left side, you need to first find a common denominator for the fractions. In this case, the common denominator is 8. So, you can rewrite the equation as:

x - 7/8 + 5 = 0
x - 7/8 + 40/8 = 0

Now, combine the fractions:

(x - 7 + 40)/8 = 0
(x + 33)/8 = 0

Now, you can isolate x by multiplying both sides of the equation by 8:

8 * (x + 33)/8 = 0 * 8
x + 33 = 0

Finally, subtract 33 from both sides to solve for x:

x + 33 - 33 = 0 - 33
x = -33

So, the value of x in the equation x - 7/8 = -5 is -33.