anonymous
  • anonymous
Simplify: 40-8(2x-1) I know it's very simple, but I'm not sure of my first step.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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mathstudent55
  • mathstudent55
Rewrite the 40. Then distribute the -8 by what is inside the parentheses. Then combine like terms.
anonymous
  • anonymous
I'm not sure if I did it correctly, but my answer was 64x-32.
mathstudent55
  • mathstudent55
Ok, here we go. One step at a time. 40 - 8(2x - 1) = 40 - 8 * 2x - 8(-1) = 40 - 16x + 8 = 48 - 16x

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mathstudent55
  • mathstudent55
|dw:1377559173836:dw|
mathstudent55
  • mathstudent55
A negative number to the left of parentheses changes all the signs after multiplying.
anonymous
  • anonymous
Why wouldn't you multiply the equation in the parentheses to the forty, as well? I've done that many times.
mathstudent55
  • mathstudent55
|dw:1377559329137:dw| Notice that the 2x inside the parentheses becomes NEGATIVE 16x and the -1 becomes POSTIVE 8. In addition to multiplying by the number tot he left of the parentheses, since the number was negative, all signs changed.
mathstudent55
  • mathstudent55
The 40 to the left is not involved in a multiplication. The 40 is involved in a subtraction.
mathstudent55
  • mathstudent55
It's as if you had 40 - (2 + 3) Here you do the subtraction inside the parentheses first getting: 40 - 5 Then you do the subtraction involving the 40: 35
anonymous
  • anonymous
I see that now. Thank you so much! You're going to hate me for this, but I promise I only have one equation left that I need help on. Would you mind helping me with that, as well? I know exactly how to do it, and I've gotten through more than half of the equation, but there was an area that confused me.
mathstudent55
  • mathstudent55
1. I don't hate you. 2. I'll help. 3. Pls start a new post for the new question 4. I'll see you there.
anonymous
  • anonymous
Thank you!
mathstudent55
  • mathstudent55
5. You're welcome.

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