is x = 14 if the equation is 2/3 (3x-6)=10

Thanks :)

Yeah I considered that but it basically means the same thing anyway so I left it how it was. 

$$\frac{2}{3}\times{(3x-6)}=10$$ Now exapnd the brackets . . .

 

$$\frac{6x}{3}-\frac{12}{3}=10$$ So . . .

 

$$2x-4=10$$

 

$$2x=14$$

 

$$x=7$$

 

So x does not equal 14.

 

We can also check this by substituting in [x=7]

 

$$\frac{2}{3}\times{(3\times{7}-6)}=10$$

 

$$\frac{2}{3}\times{15}=10$$

 

$$2\times{15}=30$$

 

$$30=30$$

 

:)

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You have presented this beautifully Zac :))

 

There is a little thing I would like you to consider. 

If you multiply both sides by 3 right at the very beginning then the fraction disappears immediately.

With some equations this makes the problem much simpler :)