Solve 6x-(x-13)=2x-(quad-x)

$$6 x - ( x - 13 ) = 2 x - ( \quad - x )$$

Solve for x

$$x = -\frac{13}{2} = -6\frac{1}{2} = -6.5$$

Steps for Solving Linear Equation

To find the opposite of x-13, find the opposite of each term.

$$6x-x-\left(-13\right)=2x-\left(-x\right)$$

The opposite of -13 is 13.

$$6x-x+13=2x-\left(-x\right)$$

Combine 6x and -x to get 5x.

$$5x+13=2x-\left(-x\right)$$

Add -x to both sides.

$$5x+13-x=2x$$

Subtract 2x from both sides.

$$5x+13-x-2x=0$$

Combine 5x and -2x to get 3x.

$$3x+13-x=0$$

Subtract 13 from both sides. Anything subtracted from zero gives its negation.

$$3x-x=-13$$

Combine 3x and -x to get 2x.

$$2x=-13$$

Divide both sides by 2.

$$x=\frac{-13}{2}$$

Fraction \frac{-13}{2} can be rewritten as -\frac{13}{2} by extracting the negative sign.

$$x=-\frac{13}{2}$$