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.

Respuesta :

Answer:

  • x = 7

Step-by-step 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

Answer:

x = 7

Step-by-step explanation: