Solve 5p+3=4/3(p+1)

$$5 p + 3 = \frac { 4 } { 3 } ( p + 1 )$$

Solve for p

$$p=-\frac{5}{11}\approx -0.454545455$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{4}{3} by p+1.

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

Subtract \frac{4}{3}p from both sides.

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

Combine 5p and -\frac{4}{3}p to get \frac{11}{3}p.

$$\frac{11}{3}p+3=\frac{4}{3}$$

Subtract 3 from both sides.

$$\frac{11}{3}p=\frac{4}{3}-3$$

Convert 3 to fraction \frac{9}{3}.

$$\frac{11}{3}p=\frac{4}{3}-\frac{9}{3}$$

Since \frac{4}{3} and \frac{9}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11}{3}p=\frac{4-9}{3}$$

Subtract 9 from 4 to get -5.

$$\frac{11}{3}p=-\frac{5}{3}$$

Multiply both sides by \frac{3}{11}, the reciprocal of \frac{11}{3}.

$$p=-\frac{5}{3}\times \frac{3}{11}$$

Multiply -\frac{5}{3} times \frac{3}{11} by multiplying numerator times numerator and denominator times denominator.

$$p=\frac{-5\times 3}{3\times 11}$$

Cancel out 3 in both numerator and denominator.

$$p=\frac{-5}{11}$$

Fraction \frac{-5}{11} can be rewritten as -\frac{5}{11} by extracting the negative sign.

$$p=-\frac{5}{11}$$