What is the answer to 7/8 (x-2)+5/6 (x-4)=20-7/3 (x-7) ?

The answer to 7/8 (x-2)+5/6 (x-4)=20-7/3 (x-7) is x= 994/97

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7/8 (x-2)+5/6 (x-4)=20-7/3 (x-7)

\frac{7}{8} (x - 2) + \frac{5}{6} (x - 4) = 20 - \frac{7}{3} (x - 7)

x = \frac{994}{97}

Decimal Notation

x = 10.24742 \dots

Solution steps

\frac{7}{8} (x - 2) + \frac{5}{6} (x - 4) = 20 - \frac{7}{3} (x - 7)

Expand

\frac{7}{8} (x - 2) + \frac{5}{6} (x - 4) : \frac{41 x}{24} - \frac{61}{12}

Expand

20 - \frac{7}{3} (x - 7) : \frac{109}{3} - \frac{7}{3} x

\frac{41 x}{24} - \frac{61}{12} = \frac{109}{3} - \frac{7}{3} x

Move

\frac{61}{12}

to the right side

\frac{41 x}{24} = \frac{497}{12} - \frac{7}{3} x

Move

\frac{7}{3} x

to the left side

\frac{97 x}{24} = \frac{497}{12}

Multiply both sides by

24

97 x = 994

Divide both sides by

97

x = \frac{994}{97}

72 9^{- \frac{1}{3}}

5 t^{2} - 26 t x + 5 x^{2}

2 x^{2} (x + 1)^{2} - x^{2} (x + 1)^{3} (x - 3)

(- 27)^{\frac{5}{3}}

(4)^{\frac{1}{2}}

What is the answer to 7/8 (x-2)+5/6 (x-4)=20-7/3 (x-7) ?
The answer to 7/8 (x-2)+5/6 (x-4)=20-7/3 (x-7) is x= 994/97
Solve for x: 7/8 (x-2)+5/6 (x-4)=20-7/3 (x-7)
The solution is x= 994/97