Solve 9(-x+2)+3(x-2)=0

$$9(-x+2)+3(x-2)=0$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by -x+2.

$$9\left(-x\right)+18+3\left(x-2\right)=0$$

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

$$9\left(-x\right)+18+3x-6=0$$

Subtract 6 from 18 to get 12.

$$9\left(-x\right)+12+3x=0$$

Subtract 12 from both sides. Anything subtracted from zero gives its negation.

$$9\left(-x\right)+3x=-12$$

Multiply 9 and -1 to get -9.

$$-9x+3x=-12$$

Combine -9x and 3x to get -6x.

$$-6x=-12$$

Divide both sides by -6.

$$x=\frac{-12}{-6}$$

Divide -12 by -6 to get 2.

$$x=2$$