Solve 3p/5+2/3=p+4/3

$$\frac { 3 p } { 5 } + \frac { 2 } { 3 } = p + \frac { 4 } { 3 }$$

Solve for p

$$p = -\frac{5}{3} = -1\frac{2}{3} \approx -1.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 5,3.

$$3\times 3p+10=15p+20$$

Multiply 3 and 3 to get 9.

$$9p+10=15p+20$$

Subtract 15p from both sides.

$$9p+10-15p=20$$

Combine 9p and -15p to get -6p.

$$-6p+10=20$$

Subtract 10 from both sides.

$$-6p=20-10$$

Subtract 10 from 20 to get 10.

$$-6p=10$$

Divide both sides by -6.

$$p=\frac{10}{-6}$$

Reduce the fraction \frac{10}{-6} to lowest terms by extracting and canceling out 2.

$$p=-\frac{5}{3}$$