Solve 2(p+9)-(p+1)=-6(2p-5)+13

$$2 ( p + 9 ) - ( p + 1 ) = - 6 ( 2 p - 5 ) + 13$$

Solve for p

$$p=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by p+9.

$$2p+18-\left(p+1\right)=-6\left(2p-5\right)+13$$

To find the opposite of p+1, find the opposite of each term.

$$2p+18-p-1=-6\left(2p-5\right)+13$$

Combine 2p and -p to get p.

$$p+18-1=-6\left(2p-5\right)+13$$

Subtract 1 from 18 to get 17.

$$p+17=-6\left(2p-5\right)+13$$

Use the distributive property to multiply -6 by 2p-5.

$$p+17=-12p+30+13$$

Add 30 and 13 to get 43.

$$p+17=-12p+43$$

Add 12p to both sides.

$$p+17+12p=43$$

Combine p and 12p to get 13p.

$$13p+17=43$$

Subtract 17 from both sides.

$$13p=43-17$$

Subtract 17 from 43 to get 26.

$$13p=26$$

Divide both sides by 13.

$$p=\frac{26}{13}$$

Divide 26 by 13 to get 2.

$$p=2$$