Question

solve for x.
-6 = \frac{5x - 12}{-3}
simplify your answer as much as possible.
x = \square

Explanation:

Step1: Multiply both sides by -3

To eliminate the denominator, we multiply both sides of the equation \(-6 = \frac{5x - 12}{-3}\) by \(-3\).

$$ -6\times(-3)=\frac{5x - 12}{-3}\times(-3) $$

Simplifying both sides, we get:

$$ 18 = 5x - 12 $$

Step2: Add 12 to both sides

To isolate the term with \(x\), we add 12 to both sides of the equation \(18 = 5x - 12\).

$$ 18 + 12 = 5x - 12 + 12 $$

Simplifying both sides, we have:

$$ 30 = 5x $$

Step3: Divide both sides by 5

To solve for \(x\), we divide both sides of the equation \(30 = 5x\) by 5.

$$ \frac{30}{5}=\frac{5x}{5} $$

Simplifying both sides gives:

$$ x = 6 $$

Answer:

\(x = 6\)