Math wizards needed ! I need to solve these two equations :8n+7-10n=11 and 4(x+12)7x=-26.?

Question

not just the answer please need the work so i could understand how u got the answer. Thanx!

the second one is in error. I apoligize! The correct one is 4(x+12)+7x=-26

Answer 1

All you have to do in order to solve both of these problems is to combine like terms and solve for the variable that you need. In the first problem that you have all you have to do is this:

8n + 7 - 10n = 11
8n -10n = 11 -7
-2n = 4
n = 4/ -2
n = -2

In the second problem just do the same thing.

4(x + 12) +7x = -26 , Simply distribute the 4 across the parenthesis and combine like terms to solve for x.

4 ( x + 12) +7x = -26
4x + 48 + 7x = -26. Now combine all of your like terms,
4x + 7x = -26 - 48
11x = -74
x = -74/11

Answer 2

1) first you have to move the 7 to the right side
8n + 7 -10n=11
-7 -7
____________
8n -10n = 4

then you combine the 8n and -10n because they are similar (they each have an "n")
-2n= 4

Last, you want to get the "n" alone so you divide both sides by -2
-2n/-2 = 4/-2
So...n= -2

2) First, you have to distribute the 4 to the (x+12)

4(x+12)7x= -26
(4x+48)7x= -26

Next, you distribute the 7x to the (4x+48)
Hint: x{2}= x squared

28x{2}+ 336x= -26

Then, you move the -26 to the left side

28x{2}+ 336x= -26
+26 +26
________________
28x{2}+ 336x + 26=0

Then, you take a G.C.F. of 2.

2(14x{2} + 168x + 13) = 0

Last, you reverse foil factor

( ) ( ) =0
Hopefully, you can take it form here. I hope this helped! Good Luck!!

Answer 3

8n + 7 - 10n = 11 combine like terms
7 - 2n = 11 subtract 7 from both sides
-2n = 4 divide both sides by -2
n= -2
check your work: 8(-2) + 7 -10(-2) = 11
11=11

4(x+12)7x = -26 multiply 4 and 7x
(x+12)28x = -26 multiply 28x and x+12
28x^2 + 336 = -26 subtract 336 from both sides
28x^2 = -362 dividve both sides by 28
x^2 = -181/14 take square root of both sides
x = sqrt -181/14 -->imaginary number
did u write the second equation correctly?

Answer 4

8n+7-10n=11 --> 7-2n=11 --> -2n=11-7 --> -2n=4--> n= -2

Is the second equation correct? If it is...

4(x+12)7x=26 --> 28x(x+12)=26 --> 28x^2 + 336x = 26 --> 28x^2 + 336x -26=0 -->

But the equation is probably 4(x+12) + 7x = 26 -->
4x +48 +7x=26 --> 11x +48= 26 --> 11x = -22 --> x= -2.

Answer 5

8n + 7 - 10n = 11
Add -7 to each side:
8n - 10n = 11 - 7
Combine like terms:
-2n = 4
Divide by -2:
n = -2

4(x+12)+7x = -26
4x + 48 +7x = -26
(4+7)x = -(26+48)
11x = -74
x = -74/11

Answer 6

8n+7-10n=11
-2n+7=11
-2n+7-7=11-7
-2n=4
-2n (divided by) -2=4 (divided by) -2
n=(-2)

and for the 2nd one, are you sure that it is written like that? Because if it is, you have to multiply everything inside the parentheses by 4 AND 7x. So, I'll answer it if you could tell me...

Answer 7

8n + 7 - 10n = 11
subtract 7 from both sides
8n - 10n = 4
-2n = 4
divide both side by -2
n = -2


Somehow the second one doesn't come out correct - weird answer - sure you wrote it correctly?

Answer 8

For fixing those,you ought to split the many times happening from the uknown.x from numbers,in different words 3x + a million = 4x + a million-x<=> 3x-4x+x=a million-a million<=> 0=0 So,this equation is real for all xER (x that exist in R) 2x + 5 = 5x - 2<=> 2*3/2x+2*5=2*5x-2*2<=> 3x+10=10x-4 <=> 3x-10x=-4-10 <=> -7x=-14<=> -7x/-7=-14/-7 <=> x=2

Answer 9

8n+7-10n=11
7-2n=11
-2n=11-7
n=2/-2
n=-1

4(x+12)+7x=-26
4x+28+7x=-26
11x+28=-26
11x=-26-28
11x=-54
x=-54/11