Solve 2-3x-1/5=-4

$$2 - \frac { 3 x - 1 } { 5 } = - 4$$

Solve for x

$$x = \frac{31}{3} = 10\frac{1}{3} \approx 10.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$10-\left(3x-1\right)=-20$$

To find the opposite of 3x-1, find the opposite of each term.

$$10-3x-\left(-1\right)=-20$$

The opposite of -1 is 1.

$$10-3x+1=-20$$

Add 10 and 1 to get 11.

$$11-3x=-20$$

Subtract 11 from both sides.

$$-3x=-20-11$$

Subtract 11 from -20 to get -31.

$$-3x=-31$$

Divide both sides by -3.

$$x=\frac{-31}{-3}$$

Fraction \frac{-31}{-3} can be simplified to \frac{31}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{31}{3}$$