High School

Which value of x makes the equation true?

\[ 5x + \left(\frac{x}{3}\right) = 38.4 \]

Answer :

Answer:

x = 7.2

Step-by-step explanation:

given the equation

5x + [tex]\frac{x}{3}[/tex] = 38.4

multiply each term by 3 to clear the fraction

3 (5x ) + 3 ( [tex]\frac{x}{3}[/tex] ) = 3 × 38.4

15x + x = 115.2

16x = 115.2 ← divide both sides by 16

[tex]\frac{16x}{16}[/tex] = [tex]\frac{115.2}{16}[/tex]

x = 7.2

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