2/3 (x − 4) = 2x
2(x-4)/3 = 2x
(2x-8)/3 = 2x
2x-8 = 3 * 2x
2x-8=6x
2x-6x=8
-4x=8
x= - 8/4
x= -2
Unsure if you mean:
2/(3(x-4)) = 2x
or
So, I'll solve for both!
First, the easy one:
(2/3) * (x-4) = 2x
x(2/3) - 4(2/3) = 2x
2x/3 - 8/3 = 2x
2x - 8 = 6x
-8 = 6x - 2x
-8 = 4x
-2 = x
Harder one:
3(x - 4) = (2/2)x
3x - 12 = x
-12 = x - 3x
-12 = -2x
6 = x
Good Luck!
2/3(x-4)=2x
Distribute the 2/3
2/3x-8/3=2x
Subtract 2x to move it to one side
-4/3x-8/3=0
Add 8/3 to both sides To isolate the x
-4/3x=8/3
Multiply both sides by -3/4 which is the reciprocal of 4/3
X=-2
Check the answer by filling in the x
2/3(-2-4)=2(-2)
-4/3-8/3=-4
-12/3=-4
-4=-4
You mean : (2/3)(x - 4) = 2x [write your question correctly using brackets in proper places]
=> 2(x - 4) = 6x [ multiplying both sides by 3 ]
=> 2x - 8 = 6x
=> 4x = - 8
=> x = - 2
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Answers & Comments
Verified answer
2/3 (x − 4) = 2x
2(x-4)/3 = 2x
(2x-8)/3 = 2x
2x-8 = 3 * 2x
2x-8=6x
2x-6x=8
-4x=8
x= - 8/4
x= -2
Unsure if you mean:
2/(3(x-4)) = 2x
or
2(x-4)/3 = 2x
So, I'll solve for both!
First, the easy one:
(2/3) * (x-4) = 2x
x(2/3) - 4(2/3) = 2x
2x/3 - 8/3 = 2x
2x - 8 = 6x
-8 = 6x - 2x
-8 = 4x
-2 = x
Harder one:
2/(3(x-4)) = 2x
3(x - 4) = (2/2)x
3x - 12 = x
-12 = x - 3x
-12 = -2x
6 = x
Good Luck!
2/3(x-4)=2x
Distribute the 2/3
2/3x-8/3=2x
Subtract 2x to move it to one side
-4/3x-8/3=0
Add 8/3 to both sides To isolate the x
-4/3x=8/3
Multiply both sides by -3/4 which is the reciprocal of 4/3
X=-2
Check the answer by filling in the x
2/3(-2-4)=2(-2)
-4/3-8/3=-4
-12/3=-4
-4=-4
You mean : (2/3)(x - 4) = 2x [write your question correctly using brackets in proper places]
=> 2(x - 4) = 6x [ multiplying both sides by 3 ]
=> 2x - 8 = 6x
=> 4x = - 8
=> x = - 2