Studdy AI Logo
Math

Question Solve the linear equation x−5−8.75=−10\frac{x}{-5} - 8.75 = -10 for xx.

Studdy Solution

STEP 1

Assumptions
1. We are given the equation x−5−8.75=−10\frac{x}{-5}-8.75=-10.
2. We need to solve for xx.

STEP 2

First, we want to isolate the term containing xx on one side of the equation. To do this, we will add 8.758.75 to both sides of the equation to eliminate the −8.75-8.75 term.
x−5−8.75+8.75=−10+8.75\frac{x}{-5}-8.75 + 8.75 = -10 + 8.75

STEP 3

Perform the addition on both sides of the equation.
x−5=−10+8.75\frac{x}{-5} = -10 + 8.75

STEP 4

Calculate the sum on the right side of the equation.
x−5=−1.25\frac{x}{-5} = -1.25

STEP 5

Now, we want to solve for xx. To do this, we will multiply both sides of the equation by −5-5 to eliminate the denominator and isolate xx.
−5×x−5=−1.25×−5-5 \times \frac{x}{-5} = -1.25 \times -5

STEP 6

Perform the multiplication on both sides of the equation.
x=6.25x = 6.25
The solution to the equation x−5−8.75=−10\frac{x}{-5}-8.75=-10 is x=6.25x = 6.25.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord