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

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

Solve for x

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps for Solving Linear Equation

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

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

The opposite of -x is x.

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

Combine x and x to get 2x.

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

Use the distributive property to multiply 3 by x+1.

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

Combine 3x and x to get 4x.

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

Subtract 4x from both sides.

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

Combine 2x and -4x to get -2x.

$$-2x-2=3$$

Add 2 to both sides.

$$-2x=3+2$$

Add 3 and 2 to get 5.

$$-2x=5$$

Divide both sides by -2.

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

Fraction \frac{5}{-2} can be rewritten as -\frac{5}{2} by extracting the negative sign.

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