Solve 6-2(x-1)=1/5

$$6 - 2 ( x - 1 ) = \frac { 1 } { 5 }$$

Solve for x

$$x = \frac{39}{10} = 3\frac{9}{10} = 3.9$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by x-1.

$$6-2x+2=\frac{1}{5}$$

Add 6 and 2 to get 8.

$$8-2x=\frac{1}{5}$$

Subtract 8 from both sides.

$$-2x=\frac{1}{5}-8$$

Convert 8 to fraction \frac{40}{5}.

$$-2x=\frac{1}{5}-\frac{40}{5}$$

Since \frac{1}{5} and \frac{40}{5} have the same denominator, subtract them by subtracting their numerators.

$$-2x=\frac{1-40}{5}$$

Subtract 40 from 1 to get -39.

$$-2x=-\frac{39}{5}$$

Divide both sides by -2.

$$x=\frac{-\frac{39}{5}}{-2}$$

Express \frac{-\frac{39}{5}}{-2} as a single fraction.

$$x=\frac{-39}{5\left(-2\right)}$$

Multiply 5 and -2 to get -10.

$$x=\frac{-39}{-10}$$

Fraction \frac{-39}{-10} can be simplified to \frac{39}{10} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{39}{10}$$