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 \(3x - 7.6 = 3.2\times4\).
Calculating the right - hand side: \(3.2\times4 = 12.8\), so the equation becomes \(3x-7.6 = 12.8\).

Step2: Add 7.6 to both sides

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

Step3: Divide both sides by 3

To solve for \(x\), we divide both sides of the equation \(3x = 20.4\) by 3.
\(x=\frac{20.4}{3}\), and \(\frac{20.4}{3}=6.8\).

Answer:

\(6.8\)