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,

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

12th Edition

ISBN: 9781337890199

Author: Dale Ewen

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Videos

Question

Chapter 6.3, Problem 56E

To determine

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

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6.3, Problem 55E

Chapter 6.3, Problem 57E

Students have asked these similar questions

For communcation marks. In the questions answered above should have the criteria show proper mathematical form use proper symbols, notations, conventions, graph(s) where applicable solution is neat, clear and easy to follow If you write on the paper in online version you will be assigned 0 marks except graph.

a) If is a polynomial function, does always have to have a horizontal asymptote? If no, provide a counterexample. ax+b b) Write an equation for a rational function whose graph of the formex+d where f(x) has all the indicated features. X-intercept of 14 Y-intercept of -1/2 VA with equation -2/3 HA with equation 4/3

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

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

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.

Concept explainers

Videos

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

Want to see the full answer?

Chapter 6 Solutions