Explanation Given Information: The provided equation is 14 x + 14 ( 3 − 2 x ) + 7 = 4 − x + 5 ( 2 − 3 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, 14 x + 14 ( 3 − 2 x ) + 7 = 4 − x + 5 ( 2 − 3 x ) , First remove the parentheses, by distributed property, 14 x + 42 − 28 x + 7 = 4 − x + 10 − 15 x Now, combine like terms, add or subtract like terms to each other, 49 − 14 x = 14 − 16 x So, make the variable term in one side, add 16 x in the both sides of the above equation, 49 − 14 x + 16 x = 14 − 16 x + 16 x 49 + 2 x = 14 Now, make the variable term be alone, subtract 49 in the both sides of the above equation, 49 − 49 + 2 x = 14 − 49 2 x = − 35 To solve the above equation, divided − 2 in the both sides,

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Author: Dale Ewen

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Chapter 6.3, Problem 56E

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To calculate: The solution of the equation 14x+14(3−2x)+7=4−x+5(2−3x) and also check the solution.

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Chapter 6.3, Problem 55E

Chapter 6.3, Problem 57E

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The solution of the equation 14 x + 14 ( 3 − 2 x ) + 7 = 4 − x + 5 ( 2 − 3 x ) and also check the solution.

Solution Summary: The author calculates the solution of the equation x=-352.

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To calculate: The solution of the equation 14x+14(3−2x)+7=4−x+5(2−3x) and also check the solution.

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