Algebra

Could someone please help me find x in this problem and explain how you got the answer?

2(3x - 1) = 5 - (x + 3)

I checked the answer I got in the back of my algebra book and it said the answer was 4/7 but my answer was wrong. How did they get 4/7 out of this?


2(3x - 1) = 5 - (x + 3)

First get rid of the parentheses.

6x - 2 = 5 - x - 3

Get all the numbers on one side and the x terms on the other.

6x + x = 5 - 3 + 2

Combine.

7x = 4

Now do you see how they got it?

I hope this helps. Thanks for asking.


Oooooooooh I gotcha. So whenever you have a minus/negative sign on the outside of the parentheses it just makes the entire the negative? So there isn't any distribution on that part...?


Yes, there is distribution...

-2(x+y -3z)=-2x-2y+6z


Bob Pursley has explained it very well. I remember this by this rule: when a negative sign precedes the parentheses, simply change the sign of each sign inside the parentheses. In the case of nested parentheses, I work from the inside out. Remove the inner most set of parentheses (leaving the sign of each sign inside the set of parentheses as is if the preceding sign is + but changing each sign inside if the set is preceded by a negative sign). Then combine terms and repeat, removing the innermost set of parentheses and combining terms, etc. until all is finished.

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Explain in your own words what it means for an equation to model a real world situation an give an example. -it is right to say that when given a problem, we want to identify the quality of the problem we want to find, translate

  2. chemistry

    How much energy is evolved when 2.65 mg of Cl(g) atoms adds electrons to give Cl1-(g) ions. No clue how to go about solving this problem as it doesn't really relate to any of my examples in my text book or notes. All I can find

  3. Trig

    Find an equation for the hyperbola described. Foci at (-4,0) and (4,0); asymptote the line y= -x. Please explain the steps of this problem. My book does not get an example of this type of problem and I'm not having any luck

  4. Math

    Solve the system of equations by substitution and explain all your steps in words: 3x + y = 12 x = y − 8 . Is this a good way to explain this problem? Step 1: Since X is given to us. We can plug it into the x-value in the first

  1. geometry

    the endpoints of AB are A(9,4) and B(5,-4) the endpoints of its image after a dilation are A1(6,3) and B1(3,-3) explain how to find the scale factor. Is there someone that can help me with this problem and explain foe me?

  2. physics

    Four point charges are located at the corners of a square with sides of length a. Two of the charges are +q, and two are -q. Find the magnitude and direction of the net electric force exerted on a charge +Q, located at the center

  3. Physics

    a 215-N box is placed on an inclined plane that makes a 35.0 degree angle with the horizontel. Find the component of the weight force parallel to the plane's surface. can someone explain how to find the answer to this problem?

  4. algebra

    The table shows the relationship between the height of a tomato plant and the number of days since it has been planted.What does the y-intercept represent in this problem situation? Explain your answer. so the Y intercept is 1 but

  1. 9th grade algebra (recursive formula)

    Can you explain how to find a sub 1 in the following problem? 1. Given 2 terms in an arithmetic sequence, find the recursive formula. a sub 18 = 3362 , a sub 38 = 7362 Steps: a. Find difference: (7632 - 3362)/(38 - 18) = 4000/20 =

  2. algebra

    Find the coordinates of the points of intersection of the graph of y=13−x with the axes and compute the area of the right triangle formed by this line and coordinate axes. can u guys plz find answer + explain this problem is

  3. Please Help!!!!!!

    Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, explain your reasoning and

  4. business

    Many organizations find themselves in the apparently contradictory position of having high levels of financial investment in inventory, but at the same time frequently running out of stock of important components and materials.

You can view more similar questions or ask a new question.