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

Asked on by telesco79

jerichorayel | College Teacher | (Level 2) Senior Educator

Posted on

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.

ik9744 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

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

15x - 12 = 8x+2

15x - 8x= 2 + 12

7x=14

x=2

zumba96 | Student, Grade 11 | (Level 3) Valedictorian

Posted on

Solve for x

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

Distribute

15x-12=8x+2

Move the variables to one side

15x-8x=2+12

7x=14

x=2

jess1999 | Student, Grade 9 | (Level 1) Valedictorian

Posted on

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

First distribute the equation

By distributing the equation , your equation should look like

15x - 12 = 8x + 2 now subtract 8x on both sides in order to get the " x " alone

By subtracting, your equation should look like

7x - 12 = 2  Add 12 on both sides

By adding, your equation should look like

7x = 14 Divide both sides by 7

By dividing your equation should look like

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

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

vanshika-shubhi | Student | eNotes Newbie

Posted on

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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