Question

solve the equation \\(\frac{2}{x + 3} = 4\\)

Explanation:

Step1: Identify the equation

The equation is $\frac{2}{x + 3}=4$ (assuming the numerator is 2, as the hand - written digit looks like 2).

Step2: Multiply both sides by \(x + 3\)

To eliminate the denominator, we multiply both sides of the equation $\frac{2}{x + 3}=4$ by \(x + 3\). We get \(2=4(x + 3)\).

Step3: Expand the right - hand side

Using the distributive property \(a(b + c)=ab+ac\), where \(a = 4\), \(b=x\) and \(c = 3\), we have \(2=4x+12\).

Step4: Subtract 12 from both sides

Subtract 12 from each side of the equation \(2 = 4x+12\): \(2-12=4x+12 - 12\), which simplifies to \(- 10=4x\).

Step5: Solve for \(x\)

Divide both sides of the equation \(-10 = 4x\) by 4: \(x=\frac{-10}{4}=-\frac{5}{2}\)

Answer:

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