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Solve [tex]\frac{-72}{x} = 9[/tex] using the distributive property.

Respuesta :

x = -8

Step by Step:

1) -72/x = 9 first, you multiply both sides by x and get -72= 9 * x

2) -72= 9 * x second, you divide both sides by 9 to isolate x by itself -72/9 = 9 * x/ 9 (the 9 cancels on the right side of the equation leaving x by itself)

Leaving you answer to be x = -8

Answer:

The answer is

→ [tex]x=-8[/tex]

Step-by-step explanation:

Given: [tex]\frac{-72}{x} = 9[/tex]

Solve:

[tex]\frac{-72}{x} = 9[/tex]

Step 1: Multiply all terms by the same value to eliminate fraction denominators.

[tex]\frac{-72}{x} = 9[/tex]

⇒ [tex]x * \frac{-72}{x} = x * 9[/tex]

Step 2: Cancel multiplied terms that are in the denominator.

[tex]x * \frac{-72}{x} = x * 9[/tex]

⇒ [tex]-72 = x * 9[/tex]

Step 3: Re-order terms so constants are on the left.

[tex]-72 = x * 9[/tex]

⇒ [tex]-72 = 9x[/tex]

Step 4: Divide both sides by the same factor.

[tex]-72 = 9x[/tex]

⇒ [tex]\frac{-72}{9} = \frac{9x}{9}[/tex]

Step 5: Simplify.

  • Divide the numbers.

[tex]\frac{-72}{9} = \frac{9x}{9}[/tex]

⇒ [tex]-8 = \frac{9x}{9}[/tex]

  • Cancel terms that are in both the numerator and denominator.

[tex]-8 = \frac{9x}{9}[/tex]

⇒ [tex]-8 = x[/tex]

  • Move the variable to the left.

[tex]-8x = x[/tex]

⇒ [tex]x = -8[/tex]

Hence, [tex]x = -8[/tex] is your answer.

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