Question

1. $2x + 15 = -7x$

Explanation:

Step1: Add 7x to both sides

To get all the x terms on one side, we add \(7x\) to both sides of the equation \(2x + 15=-7x\). This gives us \(2x + 7x+ 15=-7x + 7x\), which simplifies to \(9x + 15 = 0\).

Step2: Subtract 15 from both sides

Now, we want to isolate the term with x. So we subtract 15 from both sides: \(9x+15 - 15=0 - 15\), which simplifies to \(9x=-15\).

Step3: Divide by 9

To solve for x, we divide both sides by 9: \(x=\frac{-15}{9}\), and simplifying the fraction gives \(x =-\frac{5}{3}\).

Answer:

\(x =-\frac{5}{3}\)