Question

1. solve for x:

x + 9 = 6x - 31

1. solve for x:

Explanation:

Step1: Subtract \(x\) from both sides

To isolate the variable terms, we subtract \(x\) from each side of the equation \(x + 9 = 6x - 31\). This gives us \(9 = 5x - 31\).

Step2: Add 31 to both sides

Next, we add 31 to both sides to isolate the term with \(x\). So, \(9 + 31 = 5x\), which simplifies to \(40 = 5x\).

Step3: Divide by 5

Finally, we divide both sides by 5 to solve for \(x\). So, \(x=\frac{40}{5}=8\).

Answer:

\(x = 8\)