What value of p is the solution of the equation above?

Hard-difficulty · SAT Math · Linear Equations in One Variable — Single-variable equations (multi-step). Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 1.2. One way to solve the equation $2 times, open parenthesis, p plus 1, close parenthesis, plus, 8 times, open parenthesis, p minus 1, close parenthesis, equals 5 p$ is to first distribute the terms outside the parentheses to the terms inside the parentheses: $2 p plus 2, plus 8 p, minus 8, equals 5 p$ . Next, combine like terms on the left side of the equal sign: $10 p minus 6, equals 5 p$ . Subtracting 10p from both sides yields $negative 6 equals negative 5 p$ . Finally, dividing both sides by $negative 5$ gives $p equals six fifths$ , which is equivalent to $p equals 1 point 2$ . Note that 1.2 and 6/5 are examples of ways to enter a correct answer.

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Question what-v

What value of p is the solution of the equation above?

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