Solve -5(x-1)=-1

$$- 5 ( x - 1 ) = - 1$$

Solve for x

$$x = \frac{6}{5} = 1\frac{1}{5} = 1.2$$

Steps for Solving Linear Equation

Divide both sides by -5.

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

Fraction \frac{-1}{-5} can be simplified to \frac{1}{5} by removing the negative sign from both the numerator and the denominator.

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

Add 1 to both sides.

$$x=\frac{1}{5}+1$$

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

$$x=\frac{1}{5}+\frac{5}{5}$$

Since \frac{1}{5} and \frac{5}{5} have the same denominator, add them by adding their numerators.

$$x=\frac{1+5}{5}$$

Add 1 and 5 to get 6.

$$x=\frac{6}{5}$$