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how do you solve the problem (3x+2) - 2(x+4)=7

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bbbbrrrrriiii... | Student, Grade 10 | eNotes Newbie

Posted August 8, 2012 at 10:30 PM via web

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how do you solve the problem

(3x+2) - 2(x+4)=7

4 Answers | Add Yours

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Matthew Fonda | eNotes Employee

Posted August 8, 2012 at 11:27 PM (Answer #1)

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First start by simplifying the right hand side:

(3x + 2) - 2(x+4)

= 3x + 2 - 2x - 8 (multiply through second part by -2)

= x - 6 (combine like terms)

Now we just have to solve: x - 6 = 7

x = 13 (add 6 to each side)

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atyourservice | Student, Grade 10 | Valedictorian

Posted February 23, 2014 at 4:20 PM (Answer #2)

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`(3x+2) - 2(x+4)=7`

`3x+2-2x-8=7 ` combine like terms

`3x-2x+2-8=7`

x-6=7   now add 6 on both sides

 +6 +6

x=13

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jess1999 | TA , Grade 9 | Valedictorian

Posted June 20, 2014 at 10:44 PM (Answer #3)

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( 3x + 2 ) - 2 ( x + 4 ) = 7

First distribute the -2

By distributing your equation will look like

3x + 2 - 2x - 8 = 7 Now combine the like terms

By combining the like terms, your equation should look like

x - 6 = 7 now add 6 on both sides

By adding , your equation should look like

x = 13 which is your answer

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zumba96 | Student, Grade 11 | Valedictorian

Posted June 21, 2014 at 6:54 PM (Answer #4)

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Since this includes paranthesis, you have to do the order of operations by PEMDAS

(3x+2) - 2(x+4)=7

(3x+2)-2x-8=7

Now move all the numbers to one side and the variables on another

3x-2x=7+8-2

x=13

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