Solve 6x+(-x-2)=(7x-3)-(8-x)

$$6 x + ( - x - 2 ) = ( 7 x - 3 ) - ( 8 - x )$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

To find the opposite of 8-x, find the opposite of each term.

$$6x-x-2=7x-3-8-\left(-x\right)$$

The opposite of -x is x.

$$6x-x-2=7x-3-8+x$$

Subtract 8 from -3 to get -11.

$$6x-x-2=7x-11+x$$

Combine 7x and x to get 8x.

$$6x-x-2=8x-11$$

Subtract 8x from both sides.

$$6x-x-2-8x=-11$$

Combine 6x and -8x to get -2x.

$$-2x-x-2=-11$$

Add 2 to both sides.

$$-2x-x=-11+2$$

Add -11 and 2 to get -9.

$$-2x-x=-9$$

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

$$-3x=-9$$

Divide both sides by -3.

$$x=\frac{-9}{-3}$$

Divide -9 by -3 to get 3.

$$x=3$$