Question

(\frac{4x - 16}{8}-10=-4)

Explanation:

Step1: Add 10 to both sides

To isolate the fraction, we add 10 to both sides of the equation \(\frac{4x - 16}{8}-10=-4\). This gives us \(\frac{4x - 16}{8}=-4 + 10\). Simplifying the right - hand side, we have \(\frac{4x - 16}{8}=6\).

Step2: Multiply both sides by 8

To get rid of the denominator, we multiply both sides of the equation \(\frac{4x - 16}{8}=6\) by 8. So, \(4x-16 = 6\times8\). Calculating the right - hand side, we get \(4x-16 = 48\).

Step3: Add 16 to both sides

To isolate the term with \(x\), we add 16 to both sides of the equation \(4x-16 = 48\). This gives us \(4x=48 + 16\). Simplifying the right - hand side, we have \(4x=64\).

Step4: Divide both sides by 4

To solve for \(x\), we divide both sides of the equation \(4x = 64\) by 4. So, \(x=\frac{64}{4}\), which simplifies to \(x = 16\).

Answer:

\(x = 16\)