Explanation Given Information: The provided equation is 31 − 2 ( x − 5 ) = − 3 ( x + 4 ) . 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, 31 − 2 ( x − 5 ) = − 3 ( x + 4 ) , First remove the parentheses, by distributed property, 31 − 2 x + 10 = − 3 x − 12 Now, combine like terms, add or subtract like terms to each other, 41 − 2 x = − 3 x − 12 So, make the variable term in one side, add 3 x in the both sides of the above equation, 41 − 2 x + 3 x = − 3 x + 3 x − 12 41 + x = −

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

12th Edition

ISBN: 9781337890199

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 6.3, Problem 44E

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To calculate: The solution of the equation 31−2(x−5)=−3(x+4) and also check the solution.

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Chapter 6.3, Problem 43E

Chapter 6.3, Problem 45E

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Chapter 6 Solutions

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

Ch. 6.1 - Solve each equation and check: x+2=8 Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Solve each equation and check: 23n=6 Ch. 6.1 - Solve each equation and check: w712=3 Ch. 6.1 - Prob. 6E Ch. 6.1 - Solve each equation and check: x13=1.5 Ch. 6.1 - Solve each equation and check: n+12=5 Ch. 6.1 - Solve each equation and check: 3b=15.6 Ch. 6.1 - Solve each equation and check: y17=25

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The solution of the equation 31 − 2 ( x − 5 ) = − 3 ( x + 4 ) and also check the solution.

Solution Summary: The author explains how to calculate the solution of the equation 31-2(x-5)=-3

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To calculate: The solution of the equation 31−2(x−5)=−3(x+4) and also check the solution.

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