Solve 8(x-9)-9(x-8)=x+8-(x-4)

$$8(x-9)-9(x-8)=x+8-(x-4)$$

Solve for x

$$x=-12$$

Steps for Solving Linear Equation

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

$$8x-72-9\left(x-8\right)=x+8-\left(x-4\right)$$

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

$$8x-72-9x+72=x+8-\left(x-4\right)$$

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

$$-x-72+72=x+8-\left(x-4\right)$$

Add -72 and 72 to get 0.

$$-x=x+8-\left(x-4\right)$$

To find the opposite of x-4, find the opposite of each term.

$$-x=x+8-x-\left(-4\right)$$

The opposite of -4 is 4.

$$-x=x+8-x+4$$

Combine x and -x to get 0.

$$-x=8+4$$

Add 8 and 4 to get 12.

$$-x=12$$

Multiply both sides by -1.

$$x=-12$$