Question

solve for x.
-7 = -3 + \frac{x}{4}

Explanation:

Step1: Add 3 to both sides

To isolate the term with \( x \), we add 3 to both sides of the equation \(-7 = -3 + \frac{x}{4}\).

$$ -7 + 3 = -3 + 3 + \frac{x}{4} $$

Simplifying the left side: \(-7 + 3 = -4\), and the right side: \(-3 + 3 = 0\), so we get \(-4 = \frac{x}{4}\).

Step2: Multiply both sides by 4

To solve for \( x \), we multiply both sides of the equation \(-4 = \frac{x}{4}\) by 4.

$$ -4 \times 4 = \frac{x}{4} \times 4 $$

Simplifying both sides: \(-4 \times 4 = -16\) and \(\frac{x}{4} \times 4 = x\), so \( x = -16 \).

Answer:

\( x = -16 \)