SOLUTION: Would someone please show me the steps to solve this linear equation please? -3(-x+4) = 3x - 12 Thank you so much!!

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Question 146383: Would someone please show me the steps to solve this linear equation please?
-3(-x+4) = 3x - 12
Thank you so much!!
Found 3 solutions by Electrified_Levi, jim_thompson5910, Lrahirwar:
Answer by Electrified_Levi(103) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, Hope I can help
.
-3(-x+4) = 3x - 12
.
First, You have to use distributive property
.
-3(-x)+(-3)(4) = 3x - 12
.
Next solve it even more
.
3x - 12 = 3x - 12
.
If you add 12 to both sides, it will be
3x - 12 + 12 = 3x -12 + 12, or
3x=3x
.
If you divide everything by 3,
.
+%283x%29%2F3+=+%283x%29%2F3+, or
.
x = x
.
That means "x" can be any number
.
Let "x" = 6
.
-3(-x+4) = 3x - 12
.
-3(-6+4) = 3(6) - 12
(-3)(-2) = 18 - 12
6 = 6
.
Let "x" = (-8)
.
-3(-x+4) = 3x - 12
.
-3(-(-8)+4) = 3(-8) - 12
-3(8+4) = 3(-8) - 12
-3(12) = (-24) - 12
(-36)=(-36)
.
Hope I helped, Levi

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-3%28-x%2B4%29=3x-12 Start with the given equation.


3x-12=3x-12 Distribute.


3x=3x-12%2B12 Add 12 to both sides.


3x-3x=-12%2B12 Subtract 3x from both sides.


0x=-12%2B12 Combine like terms on the left side.


0x=0 Combine like terms on the right side.


0=0 Simplify.


Since this equation is always true for any x value, this means x can equal any number. So there are an infinite number of solutions.

Answer by Lrahirwar(2) About Me  (Show Source):
You can put this solution on YOUR website!
-3(-x+4) = 3x-12
=3x-12=3x-12=0