Solve frac{(35P-H_{B})}{3}*2-H_{B}=0

$$\frac { ( 35 P - H _ { B } ) } { 3 } \times 2 - H _ { B } = 0$$

Solve for H_B

$$H_{B}=14P$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$\left(35P-H_{B}\right)\times 2-3H_{B}=0$$

Use the distributive property to multiply 35P-H_{B} by 2.

$$70P-2H_{B}-3H_{B}=0$$

Combine -2H_{B} and -3H_{B} to get -5H_{B}.

$$70P-5H_{B}=0$$

Subtract 70P from both sides. Anything subtracted from zero gives its negation.

$$-5H_{B}=-70P$$

Divide both sides by -5.

$$\frac{-5H_{B}}{-5}=-\frac{70P}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$H_{B}=-\frac{70P}{-5}$$

Divide -70P by -5.

$$H_{B}=14P$$

Solve for P

$$P=\frac{H_{B}}{14}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$\left(35P-H_{B}\right)\times 2-3H_{B}=0$$

Use the distributive property to multiply 35P-H_{B} by 2.

$$70P-2H_{B}-3H_{B}=0$$

Combine -2H_{B} and -3H_{B} to get -5H_{B}.

$$70P-5H_{B}=0$$

Add 5H_{B} to both sides. Anything plus zero gives itself.

$$70P=5H_{B}$$

Divide both sides by 70.

$$\frac{70P}{70}=\frac{5H_{B}}{70}$$

Dividing by 70 undoes the multiplication by 70.

$$P=\frac{5H_{B}}{70}$$

Divide 5H_{B} by 70.

$$P=\frac{H_{B}}{14}$$