Find the value of x in the equation
9(2x-18)=36
I'm lost could someone please help explain the steps to this problem. thank you.
2007-05-31 01:19:28 · 16 answers · asked by lnt_b 1 in Science & Mathematics ➔ Mathematics
9(2x-18) = 36
Divide both sides of the equation by 9 to simplify.
(2x-18) = 4
2x - 18 = 4
Add 18 to both sides of the equation
2x - 18 + 18 = 4 + 18
2x = 22
Divide both sides by 2
x = 11
---------
That's it! :-)
2007-05-31 01:21:17 · answer #1 · answered by M 6 · 6⤊ 2⤋
(2x - 18) * 9 = 36
You need to get all of the numbers onto the same side of the equation, so you're left with x = .........
To do this you need to know that if you have any equation, then if you add, subtract, multiply or divide BOTH sides by the same factor, the equation is remains true: i.e
2+2 = 1+3
We can times both sides by 10 and it will still be true:
20+20 = 10 + 30
In your example, 36 is equal to 9*(2x-18). We also know that if we divide both sides of the equation by 9 then the equation will still be true. So try it:
36/9 = (9*(2x-18))/9 (Notice you need to divide EVERYTHING on the right by 9)
Of course you should see that 9/9 = 1, so we can change the new formula to:
36/9 = 2x-18
The next step would be to ADD 18 to both sides:
(36/9)+18 = (2x-18)+18
Again, 18-18 gives us zero and allows us to rearrange again to:
(36/9)+18 = 2x.
Last step is to divide both sides by 2.
((36/9)+18)/2 = x
x = 11
2007-05-31 08:46:09 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Reorder the terms:
9(-18 + 2x) = 36
(-18 * 9 + 2x * 9) = 36
(-162 + 18x) = 36
Solving
-162 + 18x = 36
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '162' to each side of the equation.
-162 + 162 + 18x = 36 + 162
Combine like terms: -162 + 162 = 0
0 + 18x = 36 + 162
18x = 36 + 162
Combine like terms: 36 + 162 = 198
18x = 198
Divide each side by '18'.
x = 11
Simplifying
x = 11
2007-05-31 08:23:59 · answer #3 · answered by da1U<32haT3 3 · 0⤊ 0⤋
Now first thing is to expand the brackets.
Here it is 9*2x = 18x.
And 9 * -18= -162
so overall you will get 18x-162=36
Put number in one side and the variables on the other side. Here you should get 18x=36+162.
Here it is +162 because the sign changes if you move it to the other side of the equation. From this you will get:
18x=198
x= 198/18
x=11
2007-05-31 08:26:57 · answer #4 · answered by Emad 2 · 0⤊ 0⤋
9 (2x - 18) = 36
expand the bracket. multiply 9 into each term in the bracket.
18x - 162 = 36
add 162 to each side of the equation.
18x = 36 + 162
18x = 198
divide each side of the equation by 18.
x = 11
thats how u do it. :)
2007-05-31 08:28:03 · answer #5 · answered by Anonymous · 0⤊ 0⤋
9(2x - 18) = 36
(mulitply out the bracket)
18x - 162 = 36
(then take the add 162 to both sides)
18x = 198
(then divide both sides by 18)
x = 11
2007-05-31 08:22:44 · answer #6 · answered by icurok 3 · 0⤊ 0⤋
Multiply out the brackets....
9 (2x - 18) = 36
18x - 162 = 36
Add 162 to both sides...
18x = 198
divide both sides by 18
x = 11
2007-05-31 08:22:27 · answer #7 · answered by Doctor Q 6 · 0⤊ 0⤋
Divide both sides by 9 you will get 2x-18=4. Then add both sides 18 you will get 2x=22, then divide both sides by 2 you will get: x=11
2007-05-31 08:25:59 · answer #8 · answered by rene payod 2 · 0⤊ 0⤋
first of all move th 9 over. 36 divided by 9 is 4. therefore we now have 2x-18=4
2x=22
x=11
the ans is 11!
2007-05-31 08:22:31 · answer #9 · answered by ysh_kobe 2 · 0⤊ 0⤋
9(2x - 18) = 36
18x - 162 = 36
18x - 162 + 162 = 36 + 162
18x = 198
18x / 18 = 198 / 18
x = 198 / 18
x = 11
- - - - - - - - -s-
2007-05-31 08:47:43 · answer #10 · answered by SAMUEL D 7 · 0⤊ 0⤋
9(2x-18)=36
or,9*2(x-9)=36
or,18(x-9)=36
or,x-9=2
or, x=2+9
orx=11 Ans
2007-05-31 08:29:50 · answer #11 · answered by susanta B 1 · 0⤊ 0⤋