Studdy AI Logo
Math

QuestionSolve the equation 3x−12=−633x - 12 = -63 and verify your solution by substituting it back into the equation.

Studdy Solution

STEP 1

Assumptions1. The given equation is 3x−12=−633x -12 = -63 . We need to solve for the variable xx

STEP 2

First, we need to isolate the term with xx on one side of the equation. We can do this by adding 1212 to both sides of the equation.
x−12+12=−63+12x -12 +12 = -63 +12

STEP 3

implify both sides of the equation.
3x=−63+123x = -63 +12

STEP 4

Calculate the right side of the equation.
3x=−513x = -51

STEP 5

Next, we need to solve for xx. We can do this by dividing both sides of the equation by 33.
x=−513x = \frac{-51}{3}

STEP 6

Calculate the value of xx.
x=−17x = -17

STEP 7

Now that we have a proposed solution, x=−17x = -17, we need to check it by substituting −17-17 for xx in the original equation.
3(−17)−12=−633(-17) -12 = -63

STEP 8

implify the left side of the equation.
−51−12=−63-51 -12 = -63

STEP 9

Calculate the left side of the equation.
−63=−63-63 = -63The left side of the equation equals the right side, so x=−17x = -17 is the solution to the equation.

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