Question

Solve the equation. $$\frac{x}{2}+13=20$$

Short answer

The solution to the equation is \(x = 14\).

Step-by-step solution

Isolate the term with x

In this equation, the term with the variable \(x\) is \(\frac{x}{2}\). Begin with isolating this term by subtracting 13 from both sides of the equation which will give: \(\frac{x}{2}+13-13=20-13\) that simplifies to \(\frac{x}{2}=7\).

Solve for x

Now that we have isolated the term with \(x\), we can solve for \(x\) by multiplying both sides of the equation by 2. This gives \(2 * \frac{x}{2}= 7 * 2\) which simplifies to \(x = 14\).