1/2x-1/7x=1
x(1/2-1/7)=1
x(7/14-2/14)=1
x(5/14)=1
5x=14
x=14/5=10/5+4/5=2.8
2 x − 7 x = 1∣ ⋅ 14 7 x − 2 x = 14 5 x = 14 x = 5 14
To solve the equation 2 x − 7 x = 1 , we find a common denominator, rewrite the fractions, and simplify. This leads us to 5 x = 14 , resulting in the solution x = 5 14 or 2.8. Thus, x equals 2.8.
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