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Algebra / Linear equations in one variable Difficulty: Medium

2 times, open parenthesis, p plus 1, close parenthesis, plus, 8 times, open parenthesis, p minus 1, close parenthesis, equals, 5 p

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

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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.