Question

Is x = 6 a solution to the equation 5(x – 3) = x + 13? Follow the steps to find out. 1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. 2. Simplify both sides. Show your work. 3. Is x = 6 a solution to the equation? Why or why not? 4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution.

Answer 1

x = 7

Explanation:

Answer 2

• x = 7

Explanation:

Testing if 6 is the solution:

• 5(x – 3) = x + 13
• 5(6 - 3) ? 6 + 13
• 5(3) ? 19
• 15 ≠ 19

6 is not a solution

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Solving for x:

• 5(x – 3) = x + 13 ⇒ open parenthesis
• 5x - 15 = x + 13 ⇒ isolate variable
• 5x - x = 13 + 15 ⇒ simplify
• 4x = 28
• x = 28/4
• x = 7