Question

1. 14x - 5 = 10x + 31

Explanation:

Step1: Add 5 to both sides

To isolate the variable terms, we add 5 to both sides of the equation \(14x - 5 = 10x + 31\). This gives us \(14x - 5 + 5 = 10x + 31 + 5\), which simplifies to \(14x = 10x + 36\).

Step2: Subtract \(10x\) from both sides

Next, we subtract \(10x\) from both sides to get the variable terms on one side. So, \(14x - 10x = 10x + 36 - 10x\), which simplifies to \(4x = 36\).

Step3: Divide both sides by 4

Finally, we divide both sides by 4 to solve for \(x\). That is, \(\frac{4x}{4}=\frac{36}{4}\), which gives \(x = 9\).

Answer:

\(x = 9\)