Question

1. 11x - 2 = 16 + 7x

Explanation:

Step1: Subtract \(7x\) from both sides

To isolate the variable terms on one side, we subtract \(7x\) from both sides of the equation \(11x - 2 = 16 + 7x\). This gives us \(11x - 7x - 2 = 16 + 7x - 7x\), which simplifies to \(4x - 2 = 16\).

Step2: Add 2 to both sides

Next, we add 2 to both sides to isolate the term with \(x\). So, \(4x - 2 + 2 = 16 + 2\), which simplifies to \(4x = 18\).

Step3: Divide by 4

Finally, we divide both sides by 4 to solve for \(x\). So, \(\frac{4x}{4}=\frac{18}{4}\), which simplifies to \(x = \frac{9}{2}\) or \(x = 4.5\).

Answer:

\(x = \frac{9}{2}\) (or \(x = 4.5\))