Solve -5(p+6)+6(2p-3)=5+p-5

$$- 5 ( p + 6 ) + 6 ( 2 p - 3 ) = 5 + p - 5$$

Solve for p

$$p=8$$

Steps for Solving Linear Equation

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

$$-5p-30+6\left(2p-3\right)=5+p-5$$

Use the distributive property to multiply 6 by 2p-3.

$$-5p-30+12p-18=5+p-5$$

Combine -5p and 12p to get 7p.

$$7p-30-18=5+p-5$$

Subtract 18 from -30 to get -48.

$$7p-48=5+p-5$$

Subtract 5 from 5 to get 0.

$$7p-48=p$$

Subtract p from both sides.

$$7p-48-p=0$$

Combine 7p and -p to get 6p.

$$6p-48=0$$

Add 48 to both sides. Anything plus zero gives itself.

$$6p=48$$

Divide both sides by 6.

$$p=\frac{48}{6}$$

Divide 48 by 6 to get 8.

$$p=8$$