What is the answer to 3/(5-x)+(2x)/5 =25 ?

The answer to 3/(5-x)+(2x)/5 =25 is x=(135-sqrt(13345))/4 ,x=(135+sqrt(13345))/4

Solve for x: 3/(5-x)+(2x)/5 =25

The solution is x=(135-sqrt(13345))/4 ,x=(135+sqrt(13345))/4

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\frac{3}{5 - x} + \frac{2 x}{5} = 25

x = \frac{135 - 13345}{4}, x = \frac{135 + 13345}{4}

Decimal Notation

x = 4.86985 \dots, x = 62.63014 \dots

Solution steps

\frac{3}{5 - x} + \frac{2 x}{5} = 25

Multiply by LCM

15 + 2 x (- x + 5) = 125 (- x + 5)

Solve

15 + 2 x (- x + 5) = 125 (- x + 5) : x = \frac{135 - 13345}{4}, x = \frac{135 + 13345}{4}

x = \frac{135 - 13345}{4}, x = \frac{135 + 13345}{4}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = \frac{135 - 13345}{4}, x = \frac{135 + 13345}{4}

\frac{2}{x + 4} = \frac{7}{x - 1}

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

x^{- 2} = 9

\frac{5}{7 k + 4} = \frac{2}{2 k - 3}

\frac{1}{x - 1} + 4 = \frac{9}{x - 1}

What is the answer to 3/(5-x)+(2x)/5 =25 ?
The answer to 3/(5-x)+(2x)/5 =25 is x=(135-sqrt(13345))/4 ,x=(135+sqrt(13345))/4
Solve for x: 3/(5-x)+(2x)/5 =25
The solution is x=(135-sqrt(13345))/4 ,x=(135+sqrt(13345))/4