Solve 3(x+3)-2(x-1)=5(x-5)

$$3(x+3)-2(x-1)=5(x-5)$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

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

$$3x+9-2\left(x-1\right)=5\left(x-5\right)$$

Use the distributive property to multiply -2 by x-1.

$$3x+9-2x+2=5\left(x-5\right)$$

Combine 3x and -2x to get x.

$$x+9+2=5\left(x-5\right)$$

Add 9 and 2 to get 11.

$$x+11=5\left(x-5\right)$$

Use the distributive property to multiply 5 by x-5.

$$x+11=5x-25$$

Subtract 5x from both sides.

$$x+11-5x=-25$$

Combine x and -5x to get -4x.

$$-4x+11=-25$$

Subtract 11 from both sides.

$$-4x=-25-11$$

Subtract 11 from -25 to get -36.

$$-4x=-36$$

Divide both sides by -4.

$$x=\frac{-36}{-4}$$

Divide -36 by -4 to get 9.

$$x=9$$