Question

solve. check your solution.
$\frac{x}{3}+6=\frac{1}{15}$

Explanation:

Step1: Isolate the variable term

Subtract 6 from both sides.
$\frac{x}{3} = \frac{1}{15} - 6$

Step2: Convert 6 to fifteenths

Rewrite 6 as $\frac{90}{15}$ for common denominator.
$\frac{x}{3} = \frac{1}{15} - \frac{90}{15}$

Step3: Subtract the fractions

Calculate the right-hand side.
$\frac{x}{3} = -\frac{89}{15}$

Step4: Solve for x

Multiply both sides by 3.
$x = -\frac{89}{15} \times 3 = -\frac{89}{5}$

Step5: Check the solution

Substitute $x=-\frac{89}{5}$ into original equation.
$\frac{-\frac{89}{5}}{3} + 6 = -\frac{89}{15} + \frac{90}{15} = \frac{1}{15}$

Answer:

$x = -\frac{89}{5}$ or $x = -17.8$