What is the value for x in the proportion...

Question

xochital · Answer

$$\frac{ x+8 }{ 5x-2 } = \frac{ 3 }{ 8 }$$

anonymous · Answer

cross multiply, distribute both sides, and then simplify.

xochital · Answer

then it'd be $$\frac{ 8x + 64 }{ 15x - 6 }$$ how do i simplify?

anonymous · Answer

goodness ! where did the right hand side of the equation vanish ?? :P

anonymous · Answer

you missed out equating the fraction to 1 ,  basically 8x + 64 = 15x -6

xochital · Answer

oh so instead of it being over it would just equal to?

anonymous · Answer

that's elementary, simple linear equation solving techniques.

xochital · Answer

i don't know how to solve it...

xochital · Answer

8x + 64 over 15x - 6 ?

anonymous · Answer

what eq. did you finally get ?

anonymous · Answer

just a sec, let me get this all clear to you ..

anonymous · Answer

$$\frac{ x+8 }{ 5x - 2 } = \frac{ 3 }{ 8 }$$
Now, we can multiply both sides of the equation with the same quantity / expression without affecting the equality. So, multiplying on both sides by
$$8 \times \left( 5x -2 \right)$$we get 
$$8\times \left( x + 8 \right) = 3\times \left( 5x - 2 \right)$$which is 
$$8x + 64 = 15x - 6$$rearranging gives us
$$70 = 7x$$or$$x = 10$$

xochital · Answer

ohh okay that makes sense. thanks so much!

anonymous · Answer

well, it required lot of patience from my side, I must admit.  :P

xochital · Answer

hahah sorry about that. i don't understand math

anonymous · Answer

equations have a property, just like that of a beam balance. You know, you can add or subtract the same quantity from both sides of the balance without disturbing it ! Similar is the case with respect to division and multiplication too,  as they're nothing but repetitive subtraction, and repetitive addition.

anonymous · Answer

Understanding maths is not the problem here. I think girls create a psychological barriers in their mind even before looking at the question..  Okay, see ya.