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Solve for x+1/x. 3x+2/x-4=2(x+9)-(7-1/x)

Solve For X1x 3x2x42x971x class=

Sagot :

Answer:

x + [tex]\frac{1}{x}[/tex]  = 15

Step-by-step explanation:

Given

3x + [tex]\frac{2}{x}[/tex] - 4 = 2(x + 9) - (7 - [tex]\frac{1}{x}[/tex] ) ← distribute and simplify right side

3x + [tex]\frac{2}{x}[/tex] - 4 = 2x + 18 - 7 + [tex]\frac{1}{x}[/tex]

3x + [tex]\frac{2}{x}[/tex] - 4 = 2x + 11 + [tex]\frac{1}{x}[/tex] ( subtract 2x from both sides )

x + [tex]\frac{2}{x}[/tex] - 4 = 11 + [tex]\frac{1}{x}[/tex] ( subtract [tex]\frac{1}{x}[/tex] from both sides )

x + [tex]\frac{1}{x}[/tex] - 4 = 11 ( add 4 to both sides )

x + [tex]\frac{1}{x}[/tex] = 15

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