What is the answer to 8/3 x+5/7 (x+9)= 2/5 (2x-7) ?

The answer to 8/3 x+5/7 (x+9)= 2/5 (2x-7) is x=-969/271

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8/3 x+5/7 (x+9)= 2/5 (2x-7)

\frac{8}{3} x + \frac{5}{7} (x + 9) = \frac{2}{5} (2 x - 7)

x = - \frac{969}{271}

Decimal Notation

x = - 3.57564 \dots

Solution steps

\frac{8}{3} x + \frac{5}{7} (x + 9) = \frac{2}{5} (2 x - 7)

Expand

\frac{8}{3} x + \frac{5}{7} (x + 9) : \frac{71 x}{21} + \frac{45}{7}

Expand

\frac{2}{5} (2 x - 7) : \frac{4}{5} x - \frac{14}{5}

\frac{71 x}{21} + \frac{45}{7} = \frac{4}{5} x - \frac{14}{5}

Move

\frac{45}{7}

to the right side

\frac{71 x}{21} = - \frac{323}{35} + \frac{4}{5} x

Move

\frac{4}{5} x

to the left side

\frac{271 x}{105} = - \frac{323}{35}

Multiply both sides by

105

271 x = - 969

Divide both sides by

271

x = - \frac{969}{271}

\frac{1}{4} - \frac{2}{3} x = - \frac{1}{3}

(x - 1) lo g_{10} (2) + lo g_{10} (8) = lo g_{10} (4)

x, 5 x - y - 6 = 0

\frac{x}{- 5} = 3

x, 8 x - 9 y = 72

What is the answer to 8/3 x+5/7 (x+9)= 2/5 (2x-7) ?
The answer to 8/3 x+5/7 (x+9)= 2/5 (2x-7) is x=-969/271
Solve for x: 8/3 x+5/7 (x+9)= 2/5 (2x-7)
The solution is x=-969/271