Respuesta :

Let's break this problem down in a few steps

  • x over 6 ⇒ x divided by 6 ⇒ [tex]\frac{x}{6}[/tex]
  • 10 over 12 ⇒ 10 divided by 12 = [tex]\frac{10}{12}=\frac{2*5}{2*6} =\frac{5}{6}[/tex]

Since these two fractions are equal to each other, let's solve for x

  [tex]\frac{x}{6}=\frac{5}{6} \\6x=30\\x = 5[/tex]

Thus x = 5

Hope that helps!

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Step 1:  Convert to an expression

x over 6 equals 10 over 12

[tex]\frac{x}{6}=\frac{10}{12}[/tex]

Step 2:  Cross multiply

[tex](x * 12) = (6 * 10)[/tex]

[tex]12x = 60[/tex]

Step 3:  Divide both sides by 12

[tex]\frac{12x}{12} = \frac{60}{12}[/tex]

[tex]x = 5[/tex]

Answer:  [tex]x = 5[/tex]

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