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Answer:
The value of x = 20
Step-by-step explanation:
Given the expression
[tex]\frac{4}{5}x\:-\:\frac{1}{4}x\:=\:11[/tex]
The L.C.M of 5,4: 20
Multiply by LCM = 20
[tex]\frac{4}{5}x\cdot \:20-\frac{1}{4}x\cdot \:20=11\cdot \:20[/tex]
Simplify
[tex]16x-5x=220[/tex]
[tex]11x=220[/tex]
Divide both sides by 11
[tex]\frac{11x}{11}=\frac{220}{11}[/tex]
[tex]x=20[/tex]
Therefore, the value of x = 20