Questions: Solve the equation 6/(x+1)-1/2=8/(3x+3). x=

Transcript text: Solve the equation $\frac{6}{x+1}-\frac{1}{2}=\frac{8}{3 x+3}$. \[ x= \]

Solution

Step 1: Rewrite the Equation

We start with the equation: \[ \frac{6}{x+1} - \frac{1}{2} = \frac{8}{3x+3} \]

Step 2: Eliminate Fractions

To eliminate the fractions, we find a common denominator and multiply through by it. This leads to a simplified equation.

Step 3: Solve for $x$

After simplifying, we find that the solution to the equation is: \[ x \approx 5.6667 \]

Thus, the solution to the equation is \[ \boxed{x \approx 5.6667} \]

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