Solve for \( x \). \[ \frac{5 x-2}{-4}=-7 \] implify your answer as much as possible. \begin{tabular}{|l|}\hline\( \frac{\square}{\square} \) \\ \hline\end{tabular}

Solve the equation \( \frac{5x-2}{-4}=-7 \). Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{5x-2}{-4}=-7\) - step1: Rewrite the fraction: \(-\frac{5x-2}{4}=-7\) - step2: Rewrite the expression: \(\frac{-5x+2}{4}=-7\) - step3: Cross multiply: \(-5x+2=4\left(-7\right)\) - step4: Simplify the equation: \(-5x+2=-28\) - step5: Move the constant to the right side: \(-5x=-28-2\) - step6: Subtract the numbers: \(-5x=-30\) - step7: Change the signs: \(5x=30\) - step8: Divide both sides: \(\frac{5x}{5}=\frac{30}{5}\) - step9: Divide the numbers: \(x=6\) The solution to the equation \( \frac{5x-2}{-4}=-7 \) is \( x=6 \).