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Mathematics
4 11 x + 1 4 = 1 8 (4)/(11)x+(1)/(4)=(1)/(8)
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To solve for x x in the equation 4 11 x + 1 4 = 1 8 (4)/(11)x+(1)/(4)=(1)/(8), we need to isolate the variable x x.
First, let’s subtract 1 4 (1)/(4) from both sides:
4 11 x + 1 4 1 4 = 1 8 1 4 (4)/(11)x+(1)/(4)-(1)/(4)=(1)/(8)-(1)/(4)
Simplifying:
4 11 x = 1 8 2 8 (4)/(11)x=(1)/(8)-(2)/(8)
Combining the fractions on the right side:
4 11 x = 1 8 (4)/(11)x=-(1)/(8)
Next, let’s multiply both sides by 11 4 (11)/(4) to eliminate the fraction:
11 4 ( 4 11 x ) = 11 4 ( 1 8 ) (11)/(4)*((4)/(11)x)=(11)/(4)*(-(1)/(8))
Simplifying:
x = 11 32 x=-(11)/(32)
Therefore, x = 11 32 x=-(11)/(32).
The solution is x = 11 32 x=-(11)/(32).
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