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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$3x-2x-6=x-3\left(x+1\right)$$

Combine 3x and -2x to get x.

$$x-6=x-3\left(x+1\right)$$

Use the distributive property to multiply -3 by x+1.

$$x-6=x-3x-3$$

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

$$x-6=-2x-3$$

Add 2x to both sides.

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

Combine x and 2x to get 3x.

$$3x-6=-3$$

Add 6 to both sides.

$$3x=-3+6$$

Add -3 and 6 to get 3.

$$3x=3$$

Divide both sides by 3.

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

Divide 3 by 3 to get 1.

$$x=1$$