What number should be added to both sides of the equation x - 7/8 =-5
To find the number that should be added to both sides of the equation x - 7/8 = -5, we need to isolate the variable x on one side of the equation.
Step 1: Add 7/8 to both sides of the equation.
x - 7/8 + 7/8 = -5 + 7/8
x + (-7/8 + 7/8) = -5 + 7/8
Step 2: Simplify the equation.
x + (0) = -5 + 7/8
x = -5 + 7/8
Therefore, the number that should be added to both sides of the equation x - 7/8 = -5 is 7/8.
To find the number that should be added to both sides of the equation x - 7/8 = -5, we need to isolate the variable x by moving all other terms to the opposite side.
First, let's add 7/8 to both sides of the equation:
(x - 7/8) + 7/8 = -5 + 7/8
Simplifying the left side, we get:
x - 7/8 + 7/8 = -5 + 7/8
x = -5 + 7/8
To add -5 and 7/8, we need a common denominator, which is 8 in this case. So, let's convert -5 into a fraction over 8:
-5 = -5/1 = -40/8
Now we can add -40/8 and 7/8:
x = -40/8 + 7/8
x = (-40 + 7) / 8
x = -33/8
The number that should be added to both sides of the equation x - 7/8 = -5 is 33/8.
To determine what number should be added to both sides of the equation x - 7/8 = -5, we need to isolate the variable, x.
Here's the step-by-step explanation:
1. Start with the given equation: x - 7/8 = -5.
2. To eliminate the fraction, we can multiply both sides of the equation by the denominator, which is 8.
(8)(x - 7/8) = (8)(-5).
This yields: 8x - 7 = -40.
3. Next, we want to isolate the variable by moving the constant term to the other side of the equation. To do this, we add 7 to both sides:
8x - 7 + 7 = -40 + 7.
Simplifying, we get: 8x = -33.
4. Finally, we need to solve for x. Since x is being multiplied by 8, we need to divide both sides of the equation by 8:
(8x) / 8 = (-33) / 8.
The result is: x = -33/8.
Therefore, the number that should be added to both sides of the equation x - 7/8 = -5 is 7.