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

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

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

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

x = \frac{1}{4}, x = 2

Decimal

x = 0.25, x = 2

Solution steps

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

Cross multiply

(x + 1) (3 x + 2) = (3 x - 2) (5 x - 4)

Solve

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

x = \frac{1}{4}, x = 2

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{1}{4}, x = 2

x + \frac{12}{x} = 8

y, x = \frac{6 y + 3}{y - 8}

4.7 = 12 \cdot (\frac{x}{x + 150})

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

\frac{6}{x + 3} = \frac{8}{x}

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