Question

solve for x.
-7 = (5x - 24)/(-3)
simplify your answer as much as possible
x = □

Explanation:

Step1: Multiply both sides by -3

To eliminate the denominator, we multiply both sides of the equation \(-7 = \frac{5x - 24}{-3}\) by \(-3\). This gives us \(-7\times(-3) = 5x - 24\). Calculating the left side, we have \(21 = 5x - 24\).

Step2: Add 24 to both sides

Next, we add 24 to both sides of the equation to isolate the term with \(x\). So, \(21 + 24 = 5x\). Simplifying the left side, we get \(45 = 5x\).

Step3: Divide both sides by 5

Finally, we divide both sides by 5 to solve for \(x\). So, \(x = \frac{45}{5} = 9\).

Answer:

\(x = 9\)