Question

question
solve for ( x ):
( 9x - 9 = 5x - 29 )

Explanation:

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

To get all the \(x\)-terms on one side, we subtract \(5x\) from both sides of the equation \(9x - 9 = 5x - 29\). This gives us \(9x - 5x - 9 = 5x - 5x - 29\), which simplifies to \(4x - 9 = -29\).

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 \(4x - 9 = -29\). This results in \(4x - 9 + 9 = -29 + 9\), which simplifies to \(4x = -20\).

Step3: Divide by 4

Finally, to solve for \(x\), we divide both sides of the equation \(4x = -20\) by 4. So \(\frac{4x}{4}=\frac{-20}{4}\), which gives \(x = -5\).

Answer:

\(x = -5\)