Solve 5left(x-1right)+17left(x-2right)=2x+1

$$5 \left( x-1 \right) +17 \left( x-2 \right) =2x+1$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-1.

$$5x-5+17\left(x-2\right)=2x+1$$

Use the distributive property to multiply 17 by x-2.

$$5x-5+17x-34=2x+1$$

Combine 5x and 17x to get 22x.

$$22x-5-34=2x+1$$

Subtract 34 from -5 to get -39.

$$22x-39=2x+1$$

Subtract 2x from both sides.

$$22x-39-2x=1$$

Combine 22x and -2x to get 20x.

$$20x-39=1$$

Add 39 to both sides.

$$20x=1+39$$

Add 1 and 39 to get 40.

$$20x=40$$

Divide both sides by 20.

$$x=\frac{40}{20}$$

Divide 40 by 20 to get 2.

$$x=2$$