I am having trouble with the following problem can someone please help me to figure out how to work it.....
-8x-21= -23 2/3
Add 21 to both sides.
-8x = - 2 2/3 = -8/3
Now divide both sides by -8
x = 1/3
Of course! I'll be happy to help you with that problem. To solve it, we'll need to follow a few steps.
Step 1: Simplify the equation if possible.
In this case, we can simplify the equation by following the order of operations (PEMDAS/BODMAS). Let's start by adding 23 2/3 to both sides of the equation to isolate the variable.
-8x - 21 + 23 2/3 = -23 2/3 + 23 2/3
Step 2: Perform the addition on both sides.
-8x - 21 + 23 2/3 equals -8x - 14 1/3, and -23 2/3 + 23 2/3 equals 0.
So, we now have:
-8x - 14 1/3 = 0
Step 3: Isolate the variable.
To isolate the variable (x), we'll need to get rid of the -14 1/3 on the left side of the equation. We can do this by adding 14 1/3 to both sides:
-8x - 14 1/3 + 14 1/3 = 0 + 14 1/3
Simplifying this equation gives us:
-8x = 14 1/3
Step 4: Solve for x.
Now, let's solve for x by dividing both sides of the equation by -8:
(-8x) / -8 = 14 1/3 / -8
This simplifies to:
x = -14 1/3 / 8
We can further simplify the equation by converting -14 1/3 to an improper fraction:
x = -(43/3) / 8
To divide a fraction by a whole number, we multiply the numerator by the reciprocal of the denominator. The reciprocal of 8 is 1/8, so:
x = -(43/3) * (1/8)
Multiplying the fractions gives us:
x = -43/24
So, the solution to the equation is x = -43/24.