Problem

Solve the equation.
\[
\frac{x}{5}-x=8
\]
\[
\mathrm{x}=
\]
(Type an integer or a fraction. Simplify your answer.)

Answer

Expert–verified
Hide Steps
Answer

The solution to the equation is \(\boxed{-10}\)

Steps

Step 1 :Multiply every term by 5 to get rid of the fraction: \(x - 5x = 40\)

Step 2 :Combine like terms on the left side of the equation: \(-4x = 40\)

Step 3 :Divide both sides of the equation by -4 to solve for x: \(x = -10.0\)

Step 4 :The solution to the equation is \(\boxed{-10}\)

link_gpt