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Mathematics
Caitlin
10 June, 16:47
Solve for x. 3x+1/14=2x/8
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Vivian Leonard
10 June, 17:38
0
It depends if it is
1. 3x + (1/14) = (2x) / 8 or
2. (3x+1) / 14 = (2x) / 8
if it is 1
1.
3x + (1/14) = 2x/8
simplify 2x/8
2x/8=x/4
3x + (1/14) = x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
84x+2=7x
subtract 7x from both sides
77x+2=0
subtract 2 from both sides
77x=-2
divide both sides by 77
x=-2/77
2.
(3x+1) / 14=2x/8
simpify 2x/8
2x/8=x/4
(3x+1) / 14=x/4
find least common multiple of 14 and 4
factors of 14=2 and 7
factors of 4 are 2 and 2 so LCM=2 times 2 times 7=28
multiply both sides by 28
(2) (3x+1) = 7x
distribute
6x+2=7x
subtract 6x from both sides
2=x
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