What is the answer to 5/(x+1)+(2x)/3 =15 ?

The answer to 5/(x+1)+(2x)/3 =15 is x=(43+sqrt(2089))/4 ,x=(43-sqrt(2089))/4

Solve for x: 5/(x+1)+(2x)/3 =15

The solution is x=(43+sqrt(2089))/4 ,x=(43-sqrt(2089))/4

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\frac{5}{x + 1} + \frac{2 x}{3} = 15

x = \frac{43 + 2089}{4}, x = \frac{43 - 2089}{4}

Decimal Notation

x = 22.17639 \dots, x = - 0.67639 \dots

Solution steps

\frac{5}{x + 1} + \frac{2 x}{3} = 15

Multiply by LCM

15 + 2 x (x + 1) = 45 (x + 1)

Solve

15 + 2 x (x + 1) = 45 (x + 1) : x = \frac{43 + 2089}{4}, x = \frac{43 - 2089}{4}

x = \frac{43 + 2089}{4}, x = \frac{43 - 2089}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{43 + 2089}{4}, x = \frac{43 - 2089}{4}

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

\frac{3}{x - 10} = \frac{15}{x + 6}

\frac{z}{z + 15} = \frac{4}{9}

\frac{12}{x} = - 2

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

What is the answer to 5/(x+1)+(2x)/3 =15 ?
The answer to 5/(x+1)+(2x)/3 =15 is x=(43+sqrt(2089))/4 ,x=(43-sqrt(2089))/4
Solve for x: 5/(x+1)+(2x)/3 =15
The solution is x=(43+sqrt(2089))/4 ,x=(43-sqrt(2089))/4