Solve 2-(x-1)-(x-1)=3+x

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

Solve for x

$$x=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

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

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

The opposite of -1 is 1.

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

Add 2 and 1 to get 3.

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

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

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

The opposite of -1 is 1.

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

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

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

Add 3 and 1 to get 4.

$$4-2x=3+x$$

Subtract x from both sides.

$$4-2x-x=3$$

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

$$4-3x=3$$

Subtract 4 from both sides.

$$-3x=3-4$$

Subtract 4 from 3 to get -1.

$$-3x=-1$$

Divide both sides by -3.

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

Fraction \frac{-1}{-3} can be simplified to \frac{1}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{3}$$