Solve 3(x+2)+2(x-4)=x-3(x+3)

$$3 ( x + 2 ) + 2 ( x - 4 ) = x - 3 ( x + 3 )$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+2.

$$3x+6+2\left(x-4\right)=x-3\left(x+3\right)$$

Use the distributive property to multiply 2 by x-4.

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

Combine 3x and 2x to get 5x.

$$5x+6-8=x-3\left(x+3\right)$$

Subtract 8 from 6 to get -2.

$$5x-2=x-3\left(x+3\right)$$

Use the distributive property to multiply -3 by x+3.

$$5x-2=x-3x-9$$

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

$$5x-2=-2x-9$$

Add 2x to both sides.

$$5x-2+2x=-9$$

Combine 5x and 2x to get 7x.

$$7x-2=-9$$

Add 2 to both sides.

$$7x=-9+2$$

Add -9 and 2 to get -7.

$$7x=-7$$

Divide both sides by 7.

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

Divide -7 by 7 to get -1.

$$x=-1$$