Homework Help

3(5x-4)=8x+2

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telesco79 | Student, College Freshman | Honors

Posted September 19, 2012 at 12:48 AM via web

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3(5x-4)=8x+2

Tagged with algebra, math

4 Answers | Add Yours

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jerichorayel | College Teacher | (Level 1) Senior Educator

Posted September 19, 2012 at 1:07 AM (Answer #1)

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We can say that this problem is looking for the value of x.

3(5x - 4) = 8x + 2  

The first thing to do is to simplify the equation by removing the parenthesis. We can do that if we multiply 3 with (5x - 4);

15x - 12 = 8x + 2

Next, we should combine like terms.

----->add 12 on both sides

15x - 12 + 12 = 8x + 2 + 12

15x = 8x + 14

----->subtract 8x on both sides

15x - 8x = 8x - 8x + 14

7x = 14

To solve for x, we divide both sides by 7.

 

7x = 14

---    ---

7       7

 

 

therefore the answer is x = 2.

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vanshika-shubhi | Student | eNotes Newbie

Posted September 19, 2012 at 2:41 PM (Answer #2)

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to prove 3(5x-4)=8x+2

first we have to find the value of x

multiply 3 with 5x and -4

we get 15x-12

15x-12=8x+2

by L.H.S. n R.H.S.

15x-12+12=8x+2+12

15x-8x=8x+14-8x

7x=14

7x/7=14/7

x=2

now,

put 2 in place of x

3{(5*2)-4}=(8*2)+2

3{10-4}=16+2

3*6=18

18=18

hence proved



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mproxas | Student | eNoter

Posted October 22, 2012 at 1:22 PM (Answer #3)

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3(5x-4)=8x+2

 

15x-12=8x+2

7x=14

x=2

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atyourservice | Student , Grade 10 | eNoter

Posted February 23, 2014 at 4:50 PM (Answer #4)

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3(5x-4)=8x+2   distribute the 3

15x-12=8x+2  combine like terms

15x-8x=2+12  

7x=14  now divide by 7

x=2

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