Explanation Given Information: The provided equation is 2 [ 4 − 2 ( 3 − x ) ] − 1 = 4 [ 2 ( 4 x − 3 ) + 7 ] − 25 . Formula used: Addition property: If a = b , then a + c = b + c , where a , b , and c are any real numbers. Division property: If a = b , then a c = b c , where a , b , and c are any real numbers and c ≠ 0 . Distributive property: For any real numbers a , b , c such that a ( b + c ) = a b + a c . The following steps are used to solve the equation: Step 1: Multiply the equations on both sided to remove the fractions or decimals. Step 2: Remove the parenthesis with the help of distributive property. Step 3: Collect the like terms from each side if it is necessary. Step 4: Separate the all variable terms on each side and all constants on each side with the help of addition property. Step 5: Collect the like terms from each side again if it is necessary. Step 6: Now solve the variable with the help of multiplication or division property. Step 7: Now check the solution in the provided equation. Calculation: Consider the provided equation. 2 [ 4 − 2 ( 3 − x ) ] − 1 = 4 [ 2 ( 4 x − 3 ) + 7 ] − 25 Apply distributive property to remove the parentheses on both sides of the equation. 8 − 4 ( 3 − x ) − 1 = 8 ( 4 x − 3 ) + 28 − 25 7 − 4 ( 3 − x ) = 8 ( 4 x − 3 ) + 3 Apply distributive property to remove the parentheses on both sides of the equation. 7 − 12 + 4 x = 32 x − 24 + 3 4 x − 5 = 32 x − 21 Apply addition property, add − 4 x to the both sides of the equation. 4 x − 5 − 4 x = 32 x − 21 − 4 x − 5 = 28 x − 21 Apply addition property, add 21 to both sides of the equation. − 5 + 21 = 28 x − 21 + 21 16 = 28 x By division property, divide both sides of the equation by 28 . 16 28 = 28 x 28 4 7 = x Check: Substitute x = 4 7 in the original equation

16th Edition

ISBN: 9781323235911

Author: BITTINGER

Publisher: Pearson Custom Publishing

See similar textbooks

Videos

Question

Chapter 8.3, Problem 85ES

To determine

To calculate: The solution of the equation 2[4−2(3−x)]−1=4[2(4x−3)+7]−25.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.3, Problem 84ES

Chapter 8.3, Problem 86ES

Students have asked these similar questions

xy² Find -dA, R = [0,3] × [−4,4] x²+1 Round your answer to four decimal places.

Find the values of p for which the series is convergent. P-?- ✓ 00 Σ nº (1 + n10)p n = 1 Need Help? Read It Watch It SUBMIT ANSWER [-/4 Points] DETAILS MY NOTES SESSCALCET2 8.3.513.XP. Consider the following series. 00 Σ n = 1 1 6 n° (a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six decimal places.) $10 = (b) Improve this estimate using the following inequalities with n = 10. (Round your answers to six decimal places.) Sn + + Los f(x) dx ≤s ≤ S₁ + Jn + 1 + Lo f(x) dx ≤s ≤ (c) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in the approximation s≈s is less than 0.0000001. On > 11 n> -18 On > 18 On > 0 On > 6 Need Help? Read It Watch It

√5 Find Lª³ L² y-are y- arctan (+) dy dydx. Hint: Use integration by parts. SolidUnderSurface z=y*arctan(1/x) Z1 2 y 1 1 Round your answer to 4 decimal places.

Chapter 8 Solutions

DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<

Ch. 8.1 - Objective 7.1a: Evaluate algebraic expressions by...Ch. 8.1 - Prob. 2SR Ch. 8.1 - Prob. 1DE Ch. 8.1 - Prob. 2DE Ch. 8.1 - Prob. 3DE Ch. 8.1 - Prob. 4DE Ch. 8.1 - Prob. 5DE Ch. 8.1 - Prob. 6DE Ch. 8.1 - Prob. 7DE Ch. 8.1 - Prob. 8DE

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 2 [ 4 − 2 ( 3 − x ) ] − 1 = 4 [ 2 ( 4 x − 3 ) + 7 ] − 25 .

Solution Summary: The author calculates the solution of the equation 2(3-x-)right, which is 47.

Videos

To calculate: The solution of the equation 2[4−2(3−x)]−1=4[2(4x−3)+7]−25.

Want to see the full answer?

Chapter 8 Solutions