SOLUTION: I need help with the equation 3(4x-9)=x+100. So far I have done two steps and then i am completely lost? My first step I got 12x-27=x+100, then the second step I got 12x=x+127, n

Question 262205: I need help with the equation 3(4x-9)=x+100. So far I have done two steps and then i am completely lost? My first step I got 12x-27=x+100, then the second step I got 12x=x+127, now I cant figure out how do I divided the 12 with the x or the 127?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
your equation is:

3*(4*x-9) = x+100

simplify to get:

12*x - 27 = x + 100

so far you did good.

add 27 to both sides of this equation to get:

12*x = x + 100 + 27

you simplified this to get:

12*x = x + 127

so far you still did good.

you needed to get all the x's on one side of the equation.

you do that by subtracting x from both sides of the equation to get:

12*x - x = 127

simplify that to get:

11*x = 127

now you divide both sides of the equation by 11 to get:

x = 127 / 11 = 11.54545454

that should be your answer.

you confirm by substituting for x in the original equation.

original equation is:

3*(4*x-9) = x+100

substitute 11.54545454 for x to get:

3*(4*11.54545454 - 9) = 11.54545454 + 100

simplify to get:

3 * (37.18181818) = 111.54545454

simplify further to get:

111.54545454 = 111.54545454 confirming that the value calculated for x is good.

the numbers displayed on the calculator are usually rounded to the nearest 8 decimal places or thereabouts.

I used the internally stored numbers which are carried out to more digits than can be displayed.

If you just use the 8 or so decimal places displayed, your answer will be very close.

If you then round to the nearest 1 or 2 decimal places, your answer should be right on.

RELATED QUESTIONS
An equation with two solutions. I cannot wrap my head around this problem. I am... (answered by backback,jim_thompson5910)

I have started the problem but am lost as to how to continue. 4x − y = 2 8x +... (answered by stanbon,Theo,MathLover1)

I need to find an equation of the line through (2,7) and parallel to y=4x-3 then I need... (answered by josmiceli,rfer,MathTherapy)

I am trying to understand if the equation I have done is anywhere near correct. I think... (answered by ReadingBoosters,MathTherapy)

oh boy do i ever need help i am so lost!!!! 1)i need to select any two integers between... (answered by ankor@dixie-net.com)

Solve the following to the nearest hundredth. {{{ 6^(x-3) = 11 }}} I am only able... (answered by edjones)

Write the domain and range in interval notation for g(x) = √(x + 1). Please... (answered by josgarithmetic)

Okay could I please get help with this one. I've to a certain point and have gotten... (answered by jim_thompson5910)

the square root of 2n-8=-3 the steps i have are (2n-8)^2=(-3)^2 thats step one step... (answered by jim_thompson5910)