Solve 4p+8p/7-3p/2=16p/5+8/3

$$4 p + \frac { 8 p } { 7 } - \frac { 3 p } { 2 } = \frac { 16 p } { 5 } + \frac { 8 } { 3 }$$

Solve for p

$$p = \frac{560}{93} = 6\frac{2}{93} \approx 6.021505376$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 210, the least common multiple of 7,2,5,3.

$$840p+30\times 8p-105\times 3p=42\times 16p+560$$

Multiply 30 and 8 to get 240.

$$840p+240p-105\times 3p=42\times 16p+560$$

Combine 840p and 240p to get 1080p.

$$1080p-105\times 3p=42\times 16p+560$$

Multiply -105 and 3 to get -315.

$$1080p-315p=42\times 16p+560$$

Combine 1080p and -315p to get 765p.

$$765p=42\times 16p+560$$

Multiply 42 and 16 to get 672.

$$765p=672p+560$$

Subtract 672p from both sides.

$$765p-672p=560$$

Combine 765p and -672p to get 93p.

$$93p=560$$

Divide both sides by 93.

$$p=\frac{560}{93}$$