countrygirl1431
  • countrygirl1431
Solve the following equation. 3x + 1 + 5x = 7 +15 + 7x
Mathematics
schrodinger
  • schrodinger
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mathstudent55
  • mathstudent55
First, combine like terms on both sides of the equal sign. Like terms are terms that have the same variable. On the left side, combine 3x and 5x. On the right side, combine 7 and 15.
mathstudent55
  • mathstudent55
What do you get?
mathstudent55
  • mathstudent55
\( \color{red}{3x} + 1 + \color{red}{5x} = \color{green}{7 +15} + 7x\) \(\color{red}{3x + 5x} + 1 = \color{green}{7 +15} + 7x\) What is 3x + 5x = ? What is 7 + 15 = ?

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triciaal
  • triciaal
@countrygirl1431 waiting for your input
countrygirl1431
  • countrygirl1431
7x and 22
mathstudent55
  • mathstudent55
3 + 5 = 8, right? So 3x + 5x = 8x.
mathstudent55
  • mathstudent55
\(\color{red}{8x } + 1 = \color{green}{22} + 7x\) So far we combined the like terms on the left and we combined the like terms on the right. Ok so far?
countrygirl1431
  • countrygirl1431
oops sorry i put thr wrong number sorry
mathstudent55
  • mathstudent55
Now we want all terms with x on the left side, and all plain numbers on the right side. Since there the term 7x on the right side, we subtract 7x from both sides. |dw:1441819900908:dw|
mathstudent55
  • mathstudent55
On the left side, what is 8x - 7x = ?
mathstudent55
  • mathstudent55
|dw:1441820054018:dw|
countrygirl1431
  • countrygirl1431
its x=21
mathstudent55
  • mathstudent55
Correct. Now we want all plain numbers on the right side, so we subtract 1 from both sides. |dw:1441820102435:dw|

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