Solve -(2-x)-[x-(3x-1)]=2-x

$$- ( 2 - x ) - [ x - ( 3 x - 1 ) ] = 2 - x$$

Solve for x

$$x = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

Steps for Solving Linear Equation

To find the opposite of 2-x, find the opposite of each term.

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

The opposite of -x is x.

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

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

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

The opposite of -1 is 1.

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

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

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

To find the opposite of -2x+1, find the opposite of each term.

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

The opposite of -2x is 2x.

$$-2+x+2x-1=2-x$$

Combine x and 2x to get 3x.

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

Subtract 1 from -2 to get -3.

$$-3+3x=2-x$$

Add x to both sides.

$$-3+3x+x=2$$

Combine 3x and x to get 4x.

$$-3+4x=2$$

Add 3 to both sides.

$$4x=2+3$$

Add 2 and 3 to get 5.

$$4x=5$$

Divide both sides by 4.

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