2/3*(x - 2) = 4x pls tell me how to do!!

Question

yttrium · Answer

Is it $$\frac{ 2 }{ 3 (x-2) } = 4x$$

epicteatime · Answer

no um its $$2/3 \times (x-2) = 4x $$

epicteatime · Answer

2 and 3 is a fraction

anonymous · Answer

given  that
   2/3*(x - 2) = 4x
then we can write it as 2(x-2)=3*4x
                                  2x-4=12x
                                   -4=12x-2x
                                   -4=10x
                    then   x=-4/10

anonymous · Answer

did you get it.....@Epicteatime

texaschic101 · Answer

2/3(x - 2) = 4x -- distribute through the parenthesis
2/3x - 4/3 = 4x -- multiply by the LCD, which is 3
2x - 4 = 12x -- subtract 2x from both sides
-4 = 12x - 2x -- combine like terms
-4 = 10x -- divide by 10
-4/10 = x -- reduce
- 2/5 = x

check...
2/3(x - 2) = 4x
2/3(-2/5 - 2) = 4(-2/5)
2/3(-2/5 - 10/5) = - 8/5
2/3(-12/5) = -8/5
- 24/15 = -8/5
-8/5 = -8/5 (correct)

x = -2/5

epicteatime · Answer

YUP THANX GUYS!!