Here I go again...?

Question

It seems like my brain can only take so many equations...then it just shuts down. Can someone show me the steps please??? Thank you...thank you....thank you!!!

15 - 2x / 3 = ( -4x / 6 + 8) + 7

Answer 1

You need to get all the x's on one side, and everything else on the other.
take 15 off of both sides
-2x/3=(-4x/6+8)-8
The parens aren't needed there:
-2x/3=-4x/6+8-8
-2x/3=-4x/6
factor a 2 out of the right
-2x/3=2(-2x/3)
Divide both sides:
(-2x/3)/(-2x/3)=2
Everything on the left cancels, and you're left with x
x=2

Answer 2

Sorry I'm partially asleep right now :-p heres the answer:

15 - 2x / 3 = ( -4x / 6 + 8) + 7
15 - 2x / 3 = ( -4x / 14) + 7
15*14 - 14*2x / 3 = -4x + 7*14
15*14*3 - 14*2x = -4x*3 + 7*14*3
630 - 28x = -12 + 294
336 - 28x = -12x
-16x = 336
x= 21
sub in formula
15 - 2(21) / 3 = 1
( -4(21) / 6 + 8) + 7 = 1

Answer 3

15 - 2x / 3 = ( -4x / 6 + 8) + 7
15 - 2x / 3 = ( -4x / 6) + 15

First, subtract -15

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

Multiply by 6, because it factors to 2*3 and 3 is present on the other side of the equation.

-4x = -4x

. . .

Wait, these these are equivalent expressions. Therefore, that is true for all values of x.

Answer 4

15-2x /3= -4x /14+7
take the right hand side and solve it u will get -4x+98/14
take 2 common factor u will get -2x+49/7
now take the right hand side and solve u will get 45-2x /3

so (45-2x) /3= (-4x +98) / 7 multiply both sides by 21
so u will get 315 -14x= -6x+147 solving for x u will get x =21

Answer 5

OK, we need to simplify, right? So let's see what happens when we multiply everything by 3: 45 - 2x = -2x + 24 + 21. Fine so far, so let's get numbers on one side, variables on the other. So zero equals zero. This is of course correct, but I have the feeling that I've done something wrong here.