What is the answer to (2(x+1))/(3+4(x-2))= x/(2+5) ?

The answer to (2(x+1))/(3+4(x-2))= x/(2+5) is x=(19+3sqrt(65))/8 ,x=(19-3sqrt(65))/8

Solve for x: (2(x+1))/(3+4(x-2))= x/(2+5)

The solution is x=(19+3sqrt(65))/8 ,x=(19-3sqrt(65))/8

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

x = \frac{19 + 3 65}{8}, x = \frac{19 - 3 65}{8}

Decimal Notation

x = 5.39834 \dots, x = - 0.64834 \dots

Solution steps

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

Cross multiply

14 (x + 1) = (4 x - 5) x

Solve

14 (x + 1) = (4 x - 5) x : x = \frac{19 + 3 65}{8}, x = \frac{19 - 3 65}{8}

x = \frac{19 + 3 65}{8}, x = \frac{19 - 3 65}{8}

Verify Solutions

Find undefined (singularity) points:

x = \frac{5}{4}

Combine undefined points with solutions:

x = \frac{19 + 3 65}{8}, x = \frac{19 - 3 65}{8}

\frac{3 x - 2}{x} = \frac{59 x ^{2} - 4}{x ^{2}}

(\frac{x + 1}{x})^{2} - 2 (\frac{x - 1}{x + 4}) - 11 = 0

\frac{21}{2 \cdot x} = \frac{331}{3}

x - 5 = \frac{2}{x}

x, f (x + h) = \frac{( x ^{2} - 1 )}{( x + 1 )}

What is the answer to (2(x+1))/(3+4(x-2))= x/(2+5) ?
The answer to (2(x+1))/(3+4(x-2))= x/(2+5) is x=(19+3sqrt(65))/8 ,x=(19-3sqrt(65))/8
Solve for x: (2(x+1))/(3+4(x-2))= x/(2+5)
The solution is x=(19+3sqrt(65))/8 ,x=(19-3sqrt(65))/8