Studdy AI Logo
Math

Question Solve for xx in (−8x−7)+8=−7(x+5)(-8x-7)+8=-7(x+5). Options: A) {4}\{4\} B) {−20}\{-20\} C) {36}\{36\} D) {−36}\{-36\}

Studdy Solution

STEP 1

Assumptions1. The equation is (−8x−7)+8=−7(x+5)(-8x -7) +8 = -7(x +5). We are solving for the variable xx.

STEP 2

First, simplify both sides of the equation by distributing the negative signs.
−8x−7+8=−7x−35-8x -7 +8 = -7x -35

STEP 3

Combine like terms on both sides of the equation.
−8x+1=−7x−35-8x +1 = -7x -35

STEP 4

Rearrange the equation to isolate xx by adding 7x7x to both sides.
−8x+7x+1=−7x+7x−35-8x +7x +1 = -7x +7x -35

STEP 5

implify the equation.
−x+1=−35-x +1 = -35

STEP 6

Subtract1 from both sides to isolate −x-x.
−x+1−1=−35−1-x +1 -1 = -35 -1

STEP 7

implify the equation.
−x=−36-x = -36

STEP 8

Multiply both sides by -1 to solve for xx.
−1(−x)=−1(−36)-1(-x) = -1(-36)

STEP 9

implify the equation to find the value of xx.
x=36x =36So, the solution to the equation is x=36x =36.

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