Question

13x - 9 = 10x + 18

Explanation:

Step1: Subtract \(10x\) from both sides

To isolate the \(x\) terms on one side, we subtract \(10x\) from both sides of the equation \(13x - 9 = 10x + 18\). This gives us \((13x - 10x)-9=(10x - 10x)+ 18\), which simplifies to \(3x-9 = 18\).

Step2: Add 9 to both sides

Next, we add 9 to both sides to isolate the term with \(x\). So, \((3x-9)+9 = 18 + 9\), which simplifies to \(3x=27\).

Step3: Divide by 3

Finally, we divide both sides by 3 to solve for \(x\). \(\frac{3x}{3}=\frac{27}{3}\), which gives \(x = 9\).

Answer:

\(x = 9\)