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Hello and Good Morning/Afternoon

Let's take this problem step by step.

        [tex]5=\frac{1}{3}(5x-15)\\ 5=\frac{5}{3}x-5\\ 5+5= \frac{5}{3}x-5 +5\\10=\frac{5}{3}x\\ 10 * 3 = 3* \frac{5}{3}x\\30=5x\\\frac{30}{5} =\frac{5}{5}x\\ 6=x\\x=6[/tex]

What did we do in this problem

  • we ensured that both sides remained equally balanced in value
  • took everything step-by-step to make sure that there were no mistakes
  • to check it, we can plug it back into the original equation to see if it works

                  [tex]5=\frac{1}{3}(5(6)-15)\\ 5=\frac{1}{3} (30-15)\\5=\frac{1}{3}*15\\ 5=5 \checkmark\\[/tex]

Answer: x = 6

Hope that helps!

#LearnwithBrainly

Solution :-

⇒ 5 = 1/3 (5x - 15)

⇒ 5 × 3 = 1 (5x - 15)

⇒ 15 = 1 (5x - 15)

⇒ 15 = 1 × (5x - 15)

⇒ 15 = 5x - 15

⇒ 5x = 15 + 15

⇒ 5x = 30

⇒ x = 30 / 5

⇒ x = 6

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