what number should be added to both sides of the equation x - 7/8 = -5 to find the value of x?
To find the value of x, we need to isolate x on one side of the equation.
Starting with the given equation:
x - 7/8 = -5
We can add 7/8 to both sides of the equation to eliminate the -7/8 on the left side:
(x - 7/8) + 7/8 = -5 + 7/8
Simplifying the left side:
x = -5 + 7/8
To add -5 and 7/8 together, we need a common denominator. The denominator of 8 for the fraction is already in common, so we can proceed:
x = (-40/8) + 7/8
Adding -40/8 and 7/8:
x = (-40 + 7)/8
Simplifying the numerator:
x = (-33)/8
Hence, the value of x is -33/8.
To find the value of x, we need to eliminate the fraction on the left side of the equation. To do this, we can add the same number to both sides of the equation.
Step 1: Add 7/8 to both sides of the equation:
(x - 7/8) + 7/8 = -5 + 7/8
On the left side, the 7/8 cancels out, leaving us with just x:
x = -5 + 7/8
To simplify the right side, we need a common denominator. The denominator of 8 can be used, so we multiply -5 by 8/8:
x = -5(8/8) + 7/8
Step 2: Simplify the right side of the equation:
x = -40/8 + 7/8
Combine the fractions with the same denominator:
x = (-40 + 7)/8
Simplify:
x = -33/8
So, the value of x is -33/8.
To find the value of x in the equation x - 7/8 = -5, you need to isolate the variable x by getting rid of the constant term (-5) on the right side of the equation.
To do this, you can add the opposite of -5 to both sides of the equation. The opposite of -5 is +5. So, adding 5 to both sides of the equation yields:
x - 7/8 + 5 = -5 + 5
Simplifying both sides of the equation gives:
x - 7/8 + 5 = 0
To combine like terms on the left side:
x + 5 - 7/8 = 0
To add the integers and fractions together, we need to find a common denominator. In this case, the common denominator of 8 and 1 is 8. So, we can convert the integer 5 into a fraction by multiplying it by 8/8:
x + 40/8 - 7/8 = 0
Combining like terms on the left side:
x + 33/8 = 0
To isolate x, we can subtract 33/8 from both sides of the equation:
x + 33/8 - 33/8 = 0 - 33/8
Simplifying both sides of the equation gives:
x + 0 = -33/8
Therefore, the value of x is -33/8.