Question

solve for x in simplest form.
4 = \frac{1}{4}(2x - 16)

Explanation:

Step1: Eliminate the fraction

Multiply both sides of the equation by 4 to get rid of the fraction. So, \(4\times4=\frac{1}{4}(2x - 16)\times4\), which simplifies to \(16 = 2x-16\).

Step2: Isolate the term with x

Add 16 to both sides of the equation. \(16 + 16=2x-16 + 16\), which gives \(32 = 2x\).

Step3: Solve for x

Divide both sides by 2. \(\frac{32}{2}=\frac{2x}{2}\), so \(x = 16\).

Answer:

\(x = 16\)