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

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

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

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

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

Decimal Notation

x = 3, x = - 0.66666 \dots

Solution steps

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

Cross multiply

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

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{3}

Combine undefined points with solutions:

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

\frac{- 30}{x} = - 1.5

\frac{r ^{2} + 5 r + 6}{r + 3} = 1

\frac{t ^{2} + 1}{t ^{2} + 2 t - 1} = 0

\frac{9}{x + 1} = \frac{18}{54}

\frac{9}{x} = \frac{15}{x - 2}

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