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I understand that you have to multiply both sides by LCD, which is 4, but it seems like my math instructions are leaving out the multiplication by 4 on the left side of the equation.

6 (x+6)
--------- = 4x - 1
4

2006-10-10 16:01:28 · 10 answers · asked by Survivor 3 in Science & Mathematics Mathematics

10 answers

Something wrong to your basic of understanding... here is the solution..

6 (x+6)
--------- = 4x - 1
4

Expand it off and you will get
6(x+6) = 4(4x-1)

Now, multiply all and you will get
6x + 36 = 16x - 4

Move all the 'x' term in left hand side and the number in right, hence
6x-16x = -4-36

Simplify it and you will get
-10x = -40

Now, final step is to move the -10 to right hand side
x = (-40)/(-10)

and you will get
x = 4

2006-10-10 16:09:12 · answer #1 · answered by Mr. Logic 3 · 1 1

(6(x + 6))/4 = 4x - 1
(3(x + 6))/2 = 4x - 1

but the way, using LCD is only involved when you have to values on the left side and one on the right, you have to multiply by 4 or in this case 2 to both sides, just because multipling is the opposite of dividing.

3(x + 6) = 8x - 2
3x + 18 = 8x - 2
-5x = -20
x = 4

ANS : x = 4

2006-10-10 23:16:36 · answer #2 · answered by Sherman81 6 · 1 0

x = 7 1/4

2006-10-10 23:04:49 · answer #3 · answered by Anonymous · 0 2

6(x+6)/4=4x-1multiply by 4
6(x+6)=16x-4 distribute on LHS
6x+36=16x-4 subtract 6x-4 from each side
16x-6x=36-(-4)
10x=40
x=4

check
6(4+6)/4=4*4-1
6*10/4=16-1
15=15

2006-10-10 23:10:32 · answer #4 · answered by yupchagee 7 · 1 1

multiply BOTH SIDES by 4
6(x+6)= 4(4x-1)

6x+36=16x-4
6x-16x=-4-36
-10x=-40
x=4

2006-10-10 23:04:07 · answer #5 · answered by Anonymous · 1 1

6(x+6)=4(4x-1)
6x+36=16x-4
36+4=16x-6x when moving across = change sign of the term!!
40=10x
x=4

2006-10-10 23:13:23 · answer #6 · answered by rwbblb46 4 · 1 1

6x+36 = 4x-1.

so it equal 6x-4x = -37, 2x = -37, x = -37 divided 2. answer is -18.5

2006-10-10 23:05:21 · answer #7 · answered by Anonymous · 0 1

6(X+6)=16x-4

2006-10-10 23:05:14 · answer #8 · answered by sllyjo 5 · 2 1

multiply both sides by four!

2006-10-10 23:11:38 · answer #9 · answered by homeslice191 3 · 0 1

6(x+6)
6x+36
I don,t no wat u asking?

2006-10-10 23:05:39 · answer #10 · answered by CoolCrab 2 · 0 2

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