What value of x makes the equation -5x - (-7 - 4x) = -2(3x - 4) tru
2 answers:
Answer: 1/10 or 0.1
Step-by-step explanation:
-(-7 - 4x) = -2(3x - 4)
7 + 4x = -6x + 8
* subtract 7 from both sides
4x = -6x + 1
* Add 6x to both sides
10 x = 1
* Divide both sides by 10
x = 1/10 or 0.10
Well, you’re going to start by simplifying each side of the equation.
This step makes sure that you know to distribute the negative.
-5x + [-(-7-4x)] = -2(3x-4)
Continue to simplify. Start by distributing across the parentheses.
-5x+(7+4x)= -6x+8
-5x+4x+7= -6x+8
-x+7=-6x+8
Once you can’t simplify either side any more, you try and isolate the variable onto one side.
-x+7=-6x+8
+x. +x
________
7=-5x+8
Then isolate the constants into one side.
7=-5x+8
-8. -8
______
-1=-5x
Then make sure you have the variable being multiplied only once.
-1= -5x
—. —
-5. -5
0.2=x
And then move your variable to the left.
x=0.2
The value of x that makes the equation true is 0.2
I hope that helps!!
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