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

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

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

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

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

Subtract 3 from 6 to get 3.

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

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

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

Subtract 6 from 3 to get -3.

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

Add 2x to both sides.

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

Combine 2x and 2x to get 4x.

$$4x+3=-3$$

Subtract 3 from both sides.

$$4x=-3-3$$

Subtract 3 from -3 to get -6.

$$4x=-6$$

Divide both sides by 4.

$$x=\frac{-6}{4}$$

Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.

$$x=-\frac{3}{2}$$