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OpenStudy (umarsback):
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OpenStudy (umarsback):
Solve: 3(x + 4) - 4(x + 3) = 7x + 16.
OpenStudy (anonymous):
distribute the 3 and the -4 into the parentheses. what do you get?
OpenStudy (umarsback):
3x+12 - 4x + (-12) = 7x +16
OpenStudy (anonymous):
you can make that + (-12) just -12. so
3x + 12 - 4x - 12 = 7x + 16
now you gotta combine your like terms
OpenStudy (umarsback):
x = 7x + 16?
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OpenStudy (anonymous):
3 - 4 = -1, so your x should be negative
-x = 7x + 16
now you have to move the 7x to the left side
OpenStudy (umarsback):
6x = 16
/6 /6
x=3 ?
OpenStudy (anonymous):
no. we have to do the opposite to both sides when moving the 7x to the other side. the opposite of 7x is -7x. so subtract 7x from both sides
OpenStudy (umarsback):
7x = 16
-7x -7x
OpenStudy (anonymous):
no :/ since we have -x on the left side, we have to do -1x - 7x, which is -8x. so
-8x = 16
now you can divide both sides by -8 to solve for x
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OpenStudy (umarsback):
Ohh sorry, i get confused when it comes to integers!
-8x = 16
-8x -8x
x=-2
OpenStudy (anonymous):
that's right! :D
OpenStudy (umarsback):
Thank you for helping me!
OpenStudy (anonymous):
no problem :]
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