Solve 3/5p+1/2(p+1)=3

$$\frac { 3 } { 5 } p + \frac { 1 } { 2 } ( p + 1 ) = 3$$

Solve for p

$$p = \frac{25}{11} = 2\frac{3}{11} \approx 2.272727273$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2} by p+1.

$$\frac{3}{5}p+\frac{1}{2}p+\frac{1}{2}=3$$

Combine \frac{3}{5}p and \frac{1}{2}p to get \frac{11}{10}p.

$$\frac{11}{10}p+\frac{1}{2}=3$$

Subtract \frac{1}{2} from both sides.

$$\frac{11}{10}p=3-\frac{1}{2}$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{11}{10}p=\frac{6}{2}-\frac{1}{2}$$

Since \frac{6}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11}{10}p=\frac{6-1}{2}$$

Subtract 1 from 6 to get 5.

$$\frac{11}{10}p=\frac{5}{2}$$

Multiply both sides by \frac{10}{11}, the reciprocal of \frac{11}{10}.

$$p=\frac{5}{2}\times \frac{10}{11}$$

Multiply \frac{5}{2} times \frac{10}{11} by multiplying numerator times numerator and denominator times denominator.

$$p=\frac{5\times 10}{2\times 11}$$

Do the multiplications in the fraction \frac{5\times 10}{2\times 11}.

$$p=\frac{50}{22}$$

Reduce the fraction \frac{50}{22} to lowest terms by extracting and canceling out 2.

$$p=\frac{25}{11}$$