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

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

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Combine x and x to get 2x.

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

Subtract 2 from 2 to get 0.

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

Multiply -2 and 2 to get -4.

$$-4x=x-1-\left(x-3\right)$$

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

$$-4x=x-1-x-\left(-3\right)$$

The opposite of -3 is 3.

$$-4x=x-1-x+3$$

Combine x and -x to get 0.

$$-4x=-1+3$$

Add -1 and 3 to get 2.

$$-4x=2$$

Divide both sides by -4.

$$x=\frac{2}{-4}$$

Reduce the fraction \frac{2}{-4} to lowest terms by extracting and canceling out 2.

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