Question

8x - 13 = 6x + 7

Explanation:

Step1: Subtract \(6x\) from both sides

To isolate the variable terms on one side, we subtract \(6x\) from both sides of the equation \(8x - 13 = 6x + 7\). This gives us \((8x - 6x)- 13=(6x - 6x)+ 7\), which simplifies to \(2x - 13 = 7\).

Step2: Add 13 to both sides

Next, we add 13 to both sides to isolate the term with the variable. So, \((2x - 13)+ 13=7 + 13\), which simplifies to \(2x = 20\).

Step3: Divide by 2

Finally, we divide both sides by 2 to solve for \(x\). That is, \(\frac{2x}{2}=\frac{20}{2}\), so \(x = 10\).

Answer:

\(x = 10\)