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  • 12-06-2020
  • Mathematics
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Simply the expression [tex]\frac{x-7}{3} - \frac{5-x}{2}[/tex]

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MathTutors
MathTutors MathTutors
  • 12-06-2020

Answer: [tex]\frac{5x-29}{6}[/tex]

Step-by-step explanation:

To simplify the equation, we can just subtract the 2 fractions. First, we need to make sure they have a common denominator.

[tex]\frac{2(x-7)}{6} -\frac{3(5-x)}{6}[/tex]

Now that the fractions have the same denominator, we can distribute the numerator and subtract.

[tex]\frac{2x-14}{6} -\frac{15-3x}{6} =\frac{2x-14-15+3x}{6} =\frac{5x-29}{6}[/tex]

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