What number should be added to both sides of the equation x − 7 over 8 = −5 to find the value of x ?
To find the value of x, we need to isolate x on one side of the equation.
To do this, we can start by adding 7/8 to both sides of the equation:
x - 7/8 + 7/8 = -5 + 7/8
On the left side, the (7/8 - 7/8) will cancel out, leaving just x:
x = -5 + 7/8
Next, we need to find a common denominator for -5 and 7/8, which is 8:
x = -5(8/8) + 7/8
-5 * 8 is -40, so we have:
x = -40/8 + 7/8
Now, we can add the fractions:
x = (-40 + 7)/8
-40 + 7 equals -33, so we have:
x = -33/8
Therefore, the value of x is -33/8.
To find the value of x, you need to add the same number to both sides of the equation. In this case, you should add 7 to both sides.
Starting with the equation:
x - 7/8 = -5
Adding 7 to both sides:
(x - 7/8) + 7 = -5 + 7
On the left side, the -7/8 and +7 cancel each other out, leaving just x:
x + 7 - 7/8 = 2
Combining like terms, the equation becomes:
x - 7/8 = 2
The value of x can be found by solving this equation.
To find the value of x, we need to isolate it on one side of the equation. Since x is being subtracted by 7 and divided by 8 on the left side of the equation, we can perform the following steps:
1. Multiply both sides of the equation by 8 to eliminate the fraction:
8 * (x - 7) / 8 = -5 * 8
Simplifying the equation, we get:
x - 7 = -40
2. Now, to isolate x, we need to get rid of the -7 on the left side. We can achieve this by adding 7 to both sides of the equation:
x - 7 + 7 = -40 + 7
This simplifies to:
x = -33
Therefore, the number that should be added to both sides of the equation x − 7/8 = -5 to find the value of x is 7.