Solve x-3/5=5x-1

$$x- \frac{ 3 }{ 5 } =5x-1$$

Solve for x

$$x=\frac{1}{10}=0.1$$

Steps for Solving Linear Equation

Subtract 5x from both sides.

$$x-\frac{3}{5}-5x=-1$$

Combine x and -5x to get -4x.

$$-4x-\frac{3}{5}=-1$$

Add \frac{3}{5} to both sides.

$$-4x=-1+\frac{3}{5}$$

Convert -1 to fraction -\frac{5}{5}.

$$-4x=-\frac{5}{5}+\frac{3}{5}$$

Since -\frac{5}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$-4x=\frac{-5+3}{5}$$

Add -5 and 3 to get -2.

$$-4x=-\frac{2}{5}$$

Divide both sides by -4.

$$x=\frac{-\frac{2}{5}}{-4}$$

Express \frac{-\frac{2}{5}}{-4} as a single fraction.

$$x=\frac{-2}{5\left(-4\right)}$$

Multiply 5 and -4 to get -20.

$$x=\frac{-2}{-20}$$

Reduce the fraction \frac{-2}{-20} to lowest terms by extracting and canceling out -2.

$$x=\frac{1}{10}$$