Distribute 2: Distribute 2 into the parentheses on the right side of the equation. 10p - 3 = 2 * 12 + 2 * 4p - 7 10p - 3 = 24 + 8p - 7Simplify right side: Simplify the right side by combining like terms. 10p - 3 = 17 + 8pSubtract 8p: Subtract 8p from both sides to start isolating p. 10p - 8p - 3 = 17 + 8p - 8p 2p - 3 = 17Add 3: Add 3 to both sides to further isolate p. 2p - 3 + 3 = 17 + 3 2p = 20Divide by 2: Divide both sides by 2 to solve for p. 2p / 2 = 20 / 2 p = 10

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

10p-3=2(12+4p)-7

Distribute $2$ : Distribute $2$ into the parentheses on the right side of the equation. $\newline$ $10p - 3 = 2 \times 12 + 2 \times 4p - 7$ $\newline$ $10p - 3 = 24 + 8p - 7$
Simplify right side: Simplify the right side by combining like terms. $10p - 3 = 17 + 8p$
Subtract $8p$ : Subtract $8p$ from both sides to start isolating $p$ . $\newline$ $10p - 8p - 3 = 17 + 8p - 8p$ $\newline$ $2p - 3 = 17$
Add $3$ : Add $3$ to both sides to further isolate $p$ . $\newline$ $2p - 3 + 3 = 17 + 3$ $\newline$ $2p = 20$
Divide by $2$ : Divide both sides by $2$ to solve for $p$ . $\frac{2p}{2} = \frac{20}{2}$ $p = 10$