Question

question
solve for ( x ):
( 8x - 9 = 5x + 9 )

Explanation:

Step1: Subtract \(5x\) from both sides

To get the \(x\)-terms on one side, we subtract \(5x\) from each side of the equation \(8x - 9 = 5x + 9\). This gives us \(8x - 5x - 9 = 5x - 5x + 9\), which simplifies to \(3x - 9 = 9\).

Step2: Add 9 to both sides

Next, we want to isolate the term with \(x\). So we add 9 to both sides of the equation \(3x - 9 = 9\). This results in \(3x - 9 + 9 = 9 + 9\), which simplifies to \(3x = 18\).

Step3: Divide by 3

To solve for \(x\), we divide both sides of the equation \(3x = 18\) by 3. So \(\frac{3x}{3}=\frac{18}{3}\), which gives \(x = 6\).

Answer:

\(x = 6\)