Solve for p. 16-3p=(2)/(3)p+5 p=

Write Equation: Write down the original equation. 16 - 3p = (2/3)p + 5 We need to solve for p by isolating it on one side of the equation.Eliminate Fraction: Eliminate the fraction by multiplying every term by the denominator of the fraction. In this case, we multiply every term by 3 to get rid of the fraction (2/3). 3*(16 - 3p) = 3*((2/3)p) + 3*5 This simplifies to: 48 - 9p = 2p + 15Move Terms: Move all the p terms to one side and the constant terms to the other side. Add 9p to both sides to move the p terms to the right, and subtract 15 from both sides to move the constants to the left. 48 - 9p + 9p = 2p + 15 + 9p 48 - 15 = 2p + 9p This simplifies to: 33 = 11pDivide and Solve: Divide both sides by 11 to solve for p. 33 / 11 = 11p / 11 This simplifies to: 3 = p

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $p$ . $\newline$ $\begin{array}{l} 16-3 p=\frac{2}{3} p+5 \\ p= \end{array}$

View step-by-step help

Home

Math Problems

Algebra 1

Solve linear equations with variables on both sides

Full solution

Q. Solve for

p

\newline

\begin{array}{l} 16-3 p=\frac{2}{3} p+5 \\ p= \end{array}

Write Equation: Write down the original equation. $\newline$ $16 - 3p = \left(\frac{2}{3}\right)p + 5$ $\newline$ We need to solve for $p$ by isolating it on one side of the equation.
Eliminate Fraction: Eliminate the fraction by multiplying every term by the denominator of the fraction. $\newline$ In this case, we multiply every term by $3$ to get rid of the fraction $(\frac{2}{3})$ . $\newline$ $3\times(16 - 3p) = 3\times\left(\frac{2}{3}p\right) + 3\times5$ $\newline$ This simplifies to: $\newline$ $48 - 9p = 2p + 15$
Move Terms: Move all the $p$ terms to one side and the constant terms to the other side. $\newline$ Add $9p$ to both sides to move the $p$ terms to the right, and subtract $15$ from both sides to move the constants to the left. $\newline$ $48 - 9p + 9p = 2p + 15 + 9p$ $\newline$ $48 - 15 = 2p + 9p$ $\newline$ This simplifies to: $\newline$ $33 = 11p$
Divide and Solve: Divide both sides by $11$ to solve for $p$ . $\newline$ $\frac{33}{11} = \frac{11p}{11}$ $\newline$ This simplifies to: $\newline$ $3 = p$