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Solve for the variable and check. Each solution is an integer.$2(b-3)+3(b+4)=b+14$

$b=2$

Algebra

Chapter 1

THE INTEGERS

Section 5

Multiplying Polynomials

The Integers

Equations and Inequalities

Polynomials

McMaster University

Baylor University

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

01:44

Solve for the variable and…

01:18

Solve each equation and ch…

03:22

01:22

Solve each equation. Check…

05:24

00:54

02:06

01:31

01:39

In $3-14,$ write the solut…

02:39

Solve each equation, if po…

in this problem we want to solve with variable in check. So first, let's solve for our variable. So I'm gonna distribute this to into our binomial 17 times be used to be in two times negative three's negative six and then we won't distribute This three said three times be is three d. M. Three times four is 12 and no equal B plus 14 So now is simplify and by combining like terms so this b and this be both haven't exploded of one. That means we can combine nickel efficient. So two plus three is five and emotions speed in 12 months, six and sticks and so they wouldn't be plus 14. So now we want all of our variables on one side and all our numbers on the other. So unless attract, be from both sides. So that'll council over here, Bob on his one is four. And then I want this six on the other side. So subtract sticks on both sides. Well, there are four b equals eight and if you divide by four on both sides, we get B equals two. So now that we know the equals two, we need to play this back into our equation and see if the one side equals the other. So we have two times two minus three plus bring times two plus four and hopefully that unequal to plus 14. The two times T minus three is negative point and two plus 46 in two plus 14 16 two times negative points. Negative 23 times six is 18 in 18 minus two. Gives us 16 and 16. Does people 16. So you know that B equals two.

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