SOLUTION: 1/2(14x+2)=3(2-3x)

Question 212670: 1/2(14x+2)=3(2-3x)
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
First remove the parentheses using the distributive property:
1/2(14x+2)=3(2-3x)
7x+1= 6 - 9x

Next, get all the x terms on the left side by adding +9x to each side.
7x + 9x + 1 = 6-9x +9x
16x +1 =6

Get all the number terms to the right side by subtracting 1 from each side:
16x +1 -1=6-1
16x =5

Finally, divide both sides by 16:

For additional explanation on the topic of factoring, see my own website. You can do a Bing search for my last name "Rapalje", and look for "Rapalje Homepage" at the top of the search list. For an explanation of a variety of topics of factoring, look for the link "Basic, Intermediate and College Algebra: One Step at a Time". Choose "Basic Algebra" and look in Chapter 1 for the section on Equation Solving. See also the "MATH IN LIVING COLOR" solutions for many of these exercises--IN COLOR!!

R^2

Dr. Robert J. Rapalje
Seminole Community College
Altamonte Springs Campus
Florida
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