Solve for p. 9p - 10 = 7p + 8 p = ____

Subtract p terms: First, we want to get all the terms with p on one side of the equation and the constant terms on the other side. We can do this by subtracting 7p from both sides of the equation. 9p - 10 - 7p = 7p + 8 - 7pCombine like terms: Now, we simplify both sides of the equation by combining like terms. (9p - 7p) - 10 = 8 2p - 10 = 8Isolate p: Next, we want to isolate p by getting rid of the constant term on the left side. We can do this by adding 10 to both sides of the equation. 2p - 10 + 10 = 8 + 10Perform addition: Now, we simplify both sides of the equation by performing the addition. 2p = 18Solve for p: Finally, we solve for p by dividing both sides of the equation by 2. 2p / 2 = 18 / 2 p = 9

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Solve for $p$ . $\newline$ $9p - 10 = 7p + 8$

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Math Problems

Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

p

\newline

9p - 10 = 7p + 8

Subtract $p$ terms: First, we want to get all the terms with $p$ on one side of the equation and the constant terms on the other side. We can do this by subtracting $7p$ from both sides of the equation. $\newline$ $9p - 10 - 7p = 7p + 8 - 7p$
Combine like terms: Now, we simplify both sides of the equation by combining like terms. $\newline$ $(9p - 7p) - 10 = 8$ $\newline$ $2p - 10 = 8$
Isolate $p$ : Next, we want to isolate $p$ by getting rid of the constant term on the left side. We can do this by adding $10$ to both sides of the equation. $2p - 10 + 10 = 8 + 10$
Perform addition: Now, we simplify both sides of the equation by performing the addition. $2p = 18$
Solve for p: Finally, we solve for $p$ by dividing both sides of the equation by $2$ . $\frac{2p}{2} = \frac{18}{2}$ $p = 9$