Question

11x - 9 = 13 - 5x

Explanation:

Step1: Add \(5x\) to both sides

To get all \(x\)-terms on one side, we add \(5x\) to both sides of the equation \(11x - 9 = 13 - 5x\). This gives us \(11x + 5x - 9 = 13 - 5x + 5x\), which simplifies to \(16x - 9 = 13\).

Step2: Add 9 to both sides

Next, we add 9 to both sides to isolate the term with \(x\). So, \(16x - 9 + 9 = 13 + 9\), which simplifies to \(16x = 22\).

Step3: Divide by 16

Finally, we divide both sides by 16 to solve for \(x\). So, \(x=\frac{22}{16}\), and simplifying the fraction gives \(x = \frac{11}{8}\) (or \(1.375\) as a decimal).

Answer:

\(x = \frac{11}{8}\) (or \(x = 1.375\))