Explanation Given Information: The provided equation is 5 x − 2.5 ( 7 − 4 x ) = x − 7 ( 4 + x ) . Formula used: Steps to solve an equation, Step 1: First remove all the parentheses, by distributed property a ( b + c ) = a ⋅ b + a ⋅ c . Step 2: Perform addition or subtraction operation in like terms. Step 3: To make the variable term in one side, add or subtract by one variable term in the both sides of the equation. Step 4: To make the variable term be alone, remove the constant term from the side where the variable term is present by using add or subtract operation in the both sides of the equation. Step 5: Solve the resultant equation. Step 6: Check the solution by substitute root in the provided equation, if the left and right side value will be equal then the resultant root will be correct. Calculation: Consider the provided equation, 5 x − 2.5 ( 7 − 4 x ) = x − 7 ( 4 + x ) , First remove the parentheses, by distributed property, 5 x − 17.5 + 10 x = x − 28 − 7 x Now, combine like terms, add or subtract like terms to each other, 15 x − 17.5 = − 6 x − 28 So, make the variable term in one side, add 6 x in the both sides of the above equation, 15 x + 6 x − 17.5 = − 6 x + 6 x − 28 21 x − 17.5 = − 28 Now, make the variable term be alone, add 17.5 in the both sides of the above equation, 21 x − 17.5 + 17.5 = − 28 + 17.5 21 x = − 10.5 To solve the above equation, divide 21 in the both sides, 21 x 21 = − 10

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Question

Chapter 6.3, Problem 60E

To determine

To calculate: The solution of the equation 5x−2.5(7−4x)=x−7(4+x) and also check the solution.

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The solution of the equation 5 x − 2.5 ( 7 − 4 x ) = x − 7 ( 4 + x ) and also check the solution.

Solution Summary: The author calculates the solution of the equation 5x-2.5(7-4x)=x-7 (4+x)

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To calculate: The solution of the equation 5x−2.5(7−4x)=x−7(4+x) and also check the solution.

Chapter 6 Solutions