Studdy AI Logo
Math

Question Solve the linear equation 3x−5=163x - 5 = 16.

Studdy Solution

STEP 1

Assumptions
1. We are given the linear equation 3x−5=163x - 5 = 16.
2. We need to solve for the variable xx.

STEP 2

To isolate the variable xx, we first need to move the constant term on the left side of the equation to the right side. We do this by adding 55 to both sides of the equation.
3x−5+5=16+53x - 5 + 5 = 16 + 5

STEP 3

Simplify both sides of the equation.
3x=213x = 21

STEP 4

Now, to solve for xx, we need to divide both sides of the equation by the coefficient of xx, which is 33.
3x3=213\frac{3x}{3} = \frac{21}{3}

STEP 5

Simplify both sides of the equation to find the value of xx.
x=7x = 7
The solution to the equation 3x−5=163x - 5 = 16 is x=7x = 7.

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