Solve 1-x-1/3=3+2x-1/3

$$1 - \frac { x - 1 } { 3 } = 3 + \frac { 2 x - 1 } { 3 }$$

Solve for x

$$x = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$3-\left(x-1\right)=9+2x-1$$

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

$$3-x-\left(-1\right)=9+2x-1$$

The opposite of -1 is 1.

$$3-x+1=9+2x-1$$

Add 3 and 1 to get 4.

$$4-x=9+2x-1$$

Subtract 1 from 9 to get 8.

$$4-x=8+2x$$

Subtract 2x from both sides.

$$4-x-2x=8$$

Combine -x and -2x to get -3x.

$$4-3x=8$$

Subtract 4 from both sides.

$$-3x=8-4$$

Subtract 4 from 8 to get 4.

$$-3x=4$$

Divide both sides by -3.

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

Fraction \frac{4}{-3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

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