Question

solve for x.
2(2x + 7) = 42
simplify your answer as much as possible.
x = \boxed{}

Explanation:

Step1: Divide both sides by 2

To isolate the term with \(x\), we first divide both sides of the equation \(2(2x + 7)=42\) by 2. This gives us \(\frac{2(2x + 7)}{2}=\frac{42}{2}\), which simplifies to \(2x + 7 = 21\).

Step2: Subtract 7 from both sides

Next, we subtract 7 from both sides of the equation \(2x + 7 = 21\) to get \(2x + 7 - 7 = 21 - 7\). Simplifying both sides, we have \(2x = 14\).

Step3: Divide by 2 to solve for x

Finally, we divide both sides of the equation \(2x = 14\) by 2. This gives \(\frac{2x}{2}=\frac{14}{2}\), so \(x = 7\).

Answer:

\(x = 7\)