SOLUTION: having trouble trying solve this problem (-3/4)x+2=(1/2)x+6

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Question 685329: having trouble trying solve this problem
(-3/4)x+2=(1/2)x+6
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the entire equation by 8 (LCM of 4 and 2)
8%28-3%2F4%29x+%2B+8%282%29+=+8%281%2F2%29x+%2B+8%286%29
...
2cross%288%29%28-3%2Fcross%284%29%29x+%2B+16+=+4cross%288%29%281%2Fcross%282%29%29x+%2B+48
-6x + 16 = 4x + 48
...
Group x variables
-6x-4x = 48 - 16
-10x = 32
...
Divide both sides by -10
-10x%2F-10+=+32%2F-10
x= -32%2F10
...
Check:(-3/4)x+2=(1/2)x+6
%28-3%2F4%29%28-32%2F10%29+%2B+2+=+%281%2F2%29%28-32%2F10%29%2B6
24%2F10+%2B+2%2810%2F10%29+=+-32%2F20+%2B+6%2820%2F20%29
44%2F10+=+88%2F20
22%2F5+=+22%2F5 correct!
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