Solve 3left(3-xright)+9=2(x-4)+6

$$3 \left( 3-x \right) +9=2(x-4)+6$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

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

$$9-3x+9=2\left(x-4\right)+6$$

Add 9 and 9 to get 18.

$$18-3x=2\left(x-4\right)+6$$

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

$$18-3x=2x-8+6$$

Add -8 and 6 to get -2.

$$18-3x=2x-2$$

Subtract 2x from both sides.

$$18-3x-2x=-2$$

Combine -3x and -2x to get -5x.

$$18-5x=-2$$

Subtract 18 from both sides.

$$-5x=-2-18$$

Subtract 18 from -2 to get -20.

$$-5x=-20$$

Divide both sides by -5.

$$x=\frac{-20}{-5}$$

Divide -20 by -5 to get 4.

$$x=4$$