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

The answer to (4x+5)/x =(3x+5)/4 is x=5,x=-4/3

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(4x+5)/x =(3x+5)/4

\frac{4 x + 5}{x} = \frac{3 x + 5}{4}

x = 5, x = - \frac{4}{3}

Decimal Notation

x = 5, x = - 1.33333 \dots

Solution steps

\frac{4 x + 5}{x} = \frac{3 x + 5}{4}

Cross multiply

(4 x + 5) \cdot 4 = x (3 x + 5)

Solve

(4 x + 5) \cdot 4 = x (3 x + 5) : x = 5, x = - \frac{4}{3}

x = 5, x = - \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5, x = - \frac{4}{3}

\frac{5}{2 x + 1} = 0

\frac{80}{60} = \frac{90}{x}

\frac{2}{2 - 5 x} = 64

x^{2} = \frac{2 x}{x + 1}

\frac{1000}{443} = \frac{12}{x}

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