6(x+3) = 3(x - 6)
2007-03-07 13:33:18 · 9 answers · asked by ~*PrInCeSs*~ 2 in Education & Reference ➔ Homework Help
Here's the answer
6(x+3) = 3(x - 6)
6x+18=3x-18
MOVE 3x TO LEFT
MOVE 18 TO RIGHT
3x= - 36
x= - 36/3
x= - 12
2007-03-07 16:11:04 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Simplifying
6(x + 3) = 3(x + -6)
Reorder the terms:
6(3 + x) = 3(x + -6)
(3 * 6 + x * 6) = 3(x + -6)
(18 + 6x) = 3(x + -6)
Reorder the terms:
18 + 6x = 3(-6 + x)
18 + 6x = (-6 * 3 + x * 3)
18 + 6x = (-18 + 3x)
Solving
18 + 6x = -18 + 3x
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
18 + 6x + -3x = -18 + 3x + -3x
Combine like terms: 6x + -3x = 3x
18 + 3x = -18 + 3x + -3x
Combine like terms: 3x + -3x = 0
18 + 3x = -18 + 0
18 + 3x = -18
Add '-18' to each side of the equation.
18 + -18 + 3x = -18 + -18
Combine like terms: 18 + -18 = 0
0 + 3x = -18 + -18
3x = -18 + -18
Combine like terms: -18 + -18 = -36
3x = -36
Divide each side by '3'.
x = -12
Simplifying
x = -12
2007-03-07 21:37:57 · answer #2 · answered by gmsgurl13 3 · 0⤊ 0⤋
6(x+3) = 3(x - 6)
distributive property
6x+18=3x-18
get x's on the same side
3x=-36
divide both sides by 3
x=-12
2007-03-07 21:49:52 · answer #3 · answered by Ashley 2 · 0⤊ 0⤋
multiply it through
6(x+3) = 6*x + 6*3 = 6x + 18
3(x-6) = 3*x - 3*6 = 3x - 18
so 6x + 18 = 3x - 18
combine like terms
6x - 3x = -18 - 18
3x = -36
x = -12
now double check
6 (-12 +3) = -54
3(-12 - 6) = -54
yup - all good
hope this helps
2007-03-07 21:41:03 · answer #4 · answered by biometallica 2 · 0⤊ 0⤋
6(x+3) = 3(x - 6)
6x + 18 = 3x -18
-3x -3x
3x + 18 = -18
-18 -18
3x / 3= -36 /3
x = -12
2007-03-07 23:14:00 · answer #5 · answered by Anonymous · 0⤊ 0⤋
6 (x + 3) = 3 (x - 6)
6x + 18 = 3x - 18
6x + 18 - 18 = 3x - 18 - 18
6x = 3x - 36
6x - 3x = 3x - 36 - 3x
3x = -36
3x/3 = -36/3
x = -12
2007-03-07 21:42:32 · answer #6 · answered by rooster1981 4 · 0⤊ 0⤋
6(x+3)=3(x-6)
distribute...
6x+18=3x-18
subtract 18 from both sides...
6x=3x-36
subtract 3x from both sides...
3x=-36
divide all by three...
x= -12
NOW GIVE ME A BEST ANSWER!
2007-03-07 21:40:08 · answer #7 · answered by swimdudensc 2 · 0⤊ 0⤋
Don't freak out, I'll show you how to solve it.
1) Distribute.
6x+18=3x-18
2) Combine like terms.
6x+18=3x-18
-18 -18
-------------------
6x=3x-36
-3x -3x
-------------------
3x=36
3) Divide each side by 3.
3x=36
---- ----
3 3
x=12
2007-03-07 21:46:34 · answer #8 · answered by anoymenous 1 · 0⤊ 0⤋
Multiply both out
So it becomes
6x+18=3x-18
Then solve it as an equilateral equation.
2007-03-07 21:48:18 · answer #9 · answered by Luis 6 · 0⤊ 0⤋