Question

Solve the equation. $$30=16+\frac{1}{5} x$$

Short answer

The solution to the equation is \(x = 70\).

Step-by-step solution

Isolate the term with variable \(x\)

In order to isolate \(x\), first subtract 16 from both sides of the equation. This results in \(30 - 16 = 16 - 16 + \frac{1}{5} x\), simplifying this gives \(14 = \frac{1}{5} x\).

Solve for \(x\)

To further isolate \(x\), multiply both sides of the equation by 5 (as it is the denominator of the fraction with \(x\)). This gives \(14 * 5 = \frac{1}{5} x * 5\), simplifying this gives \(70 = x\).