Solve 8-(x-5)=x+6

$$8 - ( x - 5 ) = x + 6$$

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

To find the opposite of x-5, find the opposite of each term.

$$8-x-\left(-5\right)=x+6$$

The opposite of -5 is 5.

$$8-x+5=x+6$$

Add 8 and 5 to get 13.

$$13-x=x+6$$

Subtract x from both sides.

$$13-x-x=6$$

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

$$13-2x=6$$

Subtract 13 from both sides.

$$-2x=6-13$$

Subtract 13 from 6 to get -7.

$$-2x=-7$$

Divide both sides by -2.

$$x=\frac{-7}{-2}$$

Fraction \frac{-7}{-2} can be simplified to \frac{7}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{7}{2}$$