Solve 8(x-9)-9(x-8)=x+8-(x-2)

$$8 ( x - 9 ) - 9 ( x - 8 ) = x + 8 - ( x - 2 )$$

Solve for x

$$x=-10$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by x-9.

$$8x-72-9\left(x-8\right)=x+8-\left(x-2\right)$$

Use the distributive property to multiply -9 by x-8.

$$8x-72-9x+72=x+8-\left(x-2\right)$$

Combine 8x and -9x to get -x.

$$-x-72+72=x+8-\left(x-2\right)$$

Add -72 and 72 to get 0.

$$-x=x+8-\left(x-2\right)$$

To find the opposite of x-2, find the opposite of each term.

$$-x=x+8-x-\left(-2\right)$$

The opposite of -2 is 2.

$$-x=x+8-x+2$$

Combine x and -x to get 0.

$$-x=8+2$$

Add 8 and 2 to get 10.

$$-x=10$$

Multiply both sides by -1.

$$x=-10$$