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Solve 42x - 3 = 5x  

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valerieyeehong | Student, Undergraduate | eNotes Newbie

Posted March 1, 2012 at 12:38 PM via web

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Solve 42x - 3 = 5x

 

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted March 1, 2012 at 12:41 PM (Answer #1)

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The equation 42x - 3 = 5x has to be solved.

42x - 3 = 5x

Subtract 5x from both the sides

=> 42x - 5x - 3 = 5x - 5x

=> 37x - 3 = 0

Add 3 to both the sides

=> 37x = 3

Divide both sides by 37

=> x = 3/37

The solution of the equation is x = `3/37`

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teachretired | High School Teacher | (Level 1) eNoter

Posted March 1, 2012 at 7:05 PM (Answer #2)

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I agree with the above answer. You subtract 5 x from both sides of the equations and add 3 to both sides of the equations and then divide by 37 to obtain the answer of 3/37.
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cheezea | Student, Grade 10 | (Level 1) Valedictorian

Posted March 1, 2012 at 9:05 PM (Answer #3)

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To solve for x, you first have to put x to one side, and the constants on the other side of the equation. Then, you divide the constant by the coefficient of x.

42x -3 = 5x

42x - 5x - 3 = 0 (-5x on both sides)

42x - 5x = 3 (+3 on both sides)

37x = 3 (then, divide the 3 by the coefficient of x, 37)

x = 3/37 :)

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chavda211 | Student | (Level 1) Salutatorian

Posted March 2, 2012 at 5:06 AM (Answer #4)

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42x-3=5x

First you should add 3

Therefore, 42x=5x+3

Then minus by 5x

Therefore, 37x=3

Finally divide by 37x so your answer is 3/37 or in decimals the answer is: 0.0810810810810811

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sharonsub | Middle School Teacher | (Level 1) eNoter

Posted March 2, 2012 at 11:57 AM (Answer #5)

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42x - 3 = 5x

add 3 to both sides:  42x - 3 + 3 = 5x + 3

simplify:                    42x = 5x + 3

subtract 5x from both sides:  42x - 5x = 5x + 3 - 5x

simplify:                           37x = 3

divide both sides by 37:    37x/37 = 3/37

simplify:      x = 3/37 or 0.08...

 

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