Solve (-5+3)(P+1)=(-p+3)(5-1)

$$( - 5 + 3 ) ( P + 1 ) = ( - p + 3 ) ( 5 - 1 )$$

Solve for P

$$P=2p-7$$

Steps for Solving Linear Equation

Add -5 and 3 to get -2.

$$-2\left(P+1\right)=\left(-p+3\right)\left(5-1\right)$$

Use the distributive property to multiply -2 by P+1.

$$-2P-2=\left(-p+3\right)\left(5-1\right)$$

Subtract 1 from 5 to get 4.

$$-2P-2=\left(-p+3\right)\times 4$$

Use the distributive property to multiply -p+3 by 4.

$$-2P-2=4\left(-p\right)+12$$

Add 2 to both sides.

$$-2P=4\left(-p\right)+12+2$$

Add 12 and 2 to get 14.

$$-2P=4\left(-p\right)+14$$

Multiply 4 and -1 to get -4.

$$-2P=-4p+14$$

The equation is in standard form.

$$-2P=14-4p$$

Divide both sides by -2.

$$\frac{-2P}{-2}=\frac{14-4p}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$P=\frac{14-4p}{-2}$$

Divide -4p+14 by -2.

$$P=2p-7$$

Solve for p

$$p=\frac{P+7}{2}$$

Steps for Solving Linear Equation

Add -5 and 3 to get -2.

$$-2\left(P+1\right)=\left(-p+3\right)\left(5-1\right)$$

Use the distributive property to multiply -2 by P+1.

$$-2P-2=\left(-p+3\right)\left(5-1\right)$$

Subtract 1 from 5 to get 4.

$$-2P-2=\left(-p+3\right)\times 4$$

Use the distributive property to multiply -p+3 by 4.

$$-2P-2=4\left(-p\right)+12$$

Swap sides so that all variable terms are on the left hand side.

$$4\left(-p\right)+12=-2P-2$$

Subtract 12 from both sides.

$$4\left(-p\right)=-2P-2-12$$

Subtract 12 from -2 to get -14.

$$4\left(-p\right)=-2P-14$$

Multiply 4 and -1 to get -4.

$$-4p=-2P-14$$

Divide both sides by -4.

$$\frac{-4p}{-4}=\frac{-2P-14}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$p=\frac{-2P-14}{-4}$$

Divide -2P-14 by -4.

$$p=\frac{P+7}{2}$$