Question

2 find the value of x that makes the equation below true. 2(3x + 8) = 22

Explanation:

Step1: Divide both sides by 2

To isolate the term with \(x\), we divide both sides of the equation \(2(3x + 8)=22\) by 2. This gives us \(\frac{2(3x + 8)}{2}=\frac{22}{2}\), which simplifies to \(3x + 8 = 11\).

Step2: Subtract 8 from both sides

Next, we subtract 8 from both sides of the equation \(3x + 8 = 11\) to get \(3x+8 - 8=11 - 8\), which simplifies to \(3x = 3\).

Step3: Divide both sides by 3

Finally, we divide both sides of the equation \(3x = 3\) by 3. So, \(\frac{3x}{3}=\frac{3}{3}\), which gives us \(x = 1\).

Answer:

\(x = 1\)