Question

4x - 16 = -6x + 24

Explanation:

Step1: Add 6x to both sides

To get all the x terms on one side, we add \(6x\) to both sides of the equation \(4x - 16=-6x + 24\). This gives us \(4x+6x - 16=-6x + 6x+24\), which simplifies to \(10x - 16 = 24\).

Step2: Add 16 to both sides

Next, we want to isolate the term with x. So we add 16 to both sides of the equation \(10x - 16 = 24\). This results in \(10x-16 + 16=24 + 16\), which simplifies to \(10x=40\).

Step3: Divide by 10

To solve for x, we divide both sides of the equation \(10x = 40\) by 10. So \(\frac{10x}{10}=\frac{40}{10}\), which gives \(x = 4\).

Answer:

\(x = 4\)