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valentina_108 [34]
3 years ago
15

4/5(x+5/6)-2/3(x-1/4)=7/6

Mathematics
1 answer:
solniwko [45]3 years ago
4 0

Answer and Step-by-step explanation:

Hello~let's~solve~your~equation:

<u>Step 1: Simplify both sides of the equation:</u>

(\frac{4}{5}) (x)+(\frac{4}{5})(\frac{5}{6})+\frac{-2}{3}x+\frac{1}{6}    =\frac{7}{6}  (Distribute)

\frac{4}{5}x+\frac{2}{3}+\frac{-2}{3}x+\frac{1}{y\6}=\frac{7}{6}

(\frac{5}{5}x+ \frac{-2}{3}x )+(\frac{2}{3}+ \frac{1}{6})=\frac{7}{6} (Combine~like~terms)

\frac{2}{15}x+\frac{5}{6}=\frac{7}{6}

<u>Step 2: Subtract 5/6 from both sides:</u>

\frac{2}{15}x+\frac{5}{6}- \frac{5}{6} =\frac{7}{6} -\frac{5}{6}

\frac{2}{15}x=\frac{1}{3}

<u>Step 3: Multiply both sides by 15/2:</u>

(\frac{15}{2}) *(\frac{2}{15}x)=(\frac{15}{2})*(\frac{1}{3})

x= \frac{5}{2}

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