Solve 10x+17-x-9=10*(17-x)+x

$$10x+17-x-9=10 \times (17-x)+x$$

Solve for x

$$x=9$$

Steps for Solving Linear Equation

Combine 10x and -x to get 9x.

$$9x+17-9=10\left(17-x\right)+x$$

Subtract 9 from 17 to get 8.

$$9x+8=10\left(17-x\right)+x$$

Use the distributive property to multiply 10 by 17-x.

$$9x+8=170-10x+x$$

Combine -10x and x to get -9x.

$$9x+8=170-9x$$

Add 9x to both sides.

$$9x+8+9x=170$$

Combine 9x and 9x to get 18x.

$$18x+8=170$$

Subtract 8 from both sides.

$$18x=170-8$$

Subtract 8 from 170 to get 162.

$$18x=162$$

Divide both sides by 18.

$$x=\frac{162}{18}$$

Divide 162 by 18 to get 9.

$$x=9$$