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

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

Solve for x

$$x = \frac{33}{10} = 3\frac{3}{10} = 3.3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by x-3.

$$9x-27+2\left(x-6\right)=x-6$$

Use the distributive property to multiply 2 by x-6.

$$9x-27+2x-12=x-6$$

Combine 9x and 2x to get 11x.

$$11x-27-12=x-6$$

Subtract 12 from -27 to get -39.

$$11x-39=x-6$$

Subtract x from both sides.

$$11x-39-x=-6$$

Combine 11x and -x to get 10x.

$$10x-39=-6$$

Add 39 to both sides.

$$10x=-6+39$$

Add -6 and 39 to get 33.

$$10x=33$$

Divide both sides by 10.

$$x=\frac{33}{10}$$