Answered

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Simplify your expression. Show all of your work.
[tex]\frac{2}{3}[/tex] (x - [tex]\frac{5}{6}[/tex]) + 4x

Sagot :

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Answer:

[tex]\frac{42x-5}{9}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} (x - \frac{5}{6} ) + 4x[/tex]

[tex]\frac{2x}{3} -(\frac{2}{3})(\frac{5}{6})+4x[/tex]

[tex]\frac{2x}{3}-\frac{10}{18} +4x[/tex]

[tex]\frac{12x-10+72x}{18}[/tex]

[tex]\frac{84x-10}{18}[/tex]

[tex]\frac{2(42x-5)}{18}[/tex]

[tex]\frac{42x-5}{9}[/tex]

Answer:

  • 14x/3 - 5/9

Step-by-step explanation:

This problem requires distributive property. Simplify it to obtain your answer.

  • 2/3(x - 5/6) + 4x
  • => 2x/3 - 10/18 + 4x
  • => 2x/3 - 10/18 + 12x/3
  • => 14x/3 - 5/9

Hence, the simplified expression is 14x/3 - 5/9.

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