Question

solve the following equation for x: \\(\frac{3x - 7.6}{4} = 3.2\\) \\(x = \square\\)

Explanation:

Step1: Multiply both sides by 4

To eliminate the denominator, we multiply both sides of the equation \(\frac{3x - 7.6}{4}=3.2\) by 4. This gives us \(3x - 7.6 = 3.2\times4\).

Step2: Calculate the right - hand side

We know that \(3.2\times4 = 12.8\), so the equation becomes \(3x-7.6 = 12.8\).

Step3: Add 7.6 to both sides

To isolate the term with \(x\), we add 7.6 to both sides of the equation. So \(3x-7.6 + 7.6=12.8 + 7.6\), which simplifies to \(3x=20.4\).

Step4: Divide both sides by 3

To solve for \(x\), we divide both sides of the equation \(3x = 20.4\) by 3. That is \(x=\frac{20.4}{3}\).

Step5: Calculate the value of x

We find that \(\frac{20.4}{3}=6.8\).

Answer:

\(x = 6.8\)