Solve (x-13)-2=(-x-2)2

$$( x - 13 ) - 2 = ( - x - 2 ) 2$$

Solve for x

$$x = \frac{11}{3} = 3\frac{2}{3} \approx 3.666666667$$

Steps for Solving Linear Equation

Subtract 2 from -13 to get -15.

$$x-15=\left(-x-2\right)\times 2$$

Use the distributive property to multiply -x-2 by 2.

$$x-15=2\left(-x\right)-4$$

Subtract 2\left(-x\right) from both sides.

$$x-15-2\left(-x\right)=-4$$

Multiply -1 and 2 to get -2.

$$x-15-2\left(-1\right)x=-4$$

Multiply -2 and -1 to get 2.

$$x-15+2x=-4$$

Combine x and 2x to get 3x.

$$3x-15=-4$$

Add 15 to both sides.

$$3x=-4+15$$

Add -4 and 15 to get 11.

$$3x=11$$

Divide both sides by 3.

$$x=\frac{11}{3}$$