Question

Solve the equation. \(\frac{x}{4}+4=18\)

Short answer

The solution to the equation is \(x=56\)

Step-by-step solution

Isolate the fractional term

To start, we need to first isolate the term containing the variable x. This means that we will try to move all other terms to the opposite side of the equation. We subtract 4 from both sides of the equation to isolate \(\frac{x}{4}\) on one side. This results in \(\frac{x}{4}=18-4\)

Simplify the equation

Perform the subtraction on the right side of the equation to simplify it. This results in \(\frac{x}{4}=14\)

Solve for x

To get x by itself, we multiply both sides of the equation by 4. \(x=14*4\)

Simplify to find x

Finally, we calculate the right side of the equation to find the value of x. \(x=56\)