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||6x+2|-12|=7 , find the exact value for x?
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\[\left| \left| 6x+2 \right| -12\right|=7\] The rule you need is this: \[\left| f(x) \right|=5\] becomes \[f(x)=5\] and \[f(x)=-5\]
i don't understand can you explain more
Whenever an absolute value is undone the result is two equations that are equal to the positive and the negative of what the absolute was equal too.
Therefore, \[\left| \left| 6x+2 \right| -12\right|=7\] Becomes \[\left| 6x+2 \right|-12=7\] AND \[\left| 6x+2 \right|=-7\]
oops the final equation in the last post was wrong
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\[\left| 6x+2 \right|-12=7\] AND \[\left| 6x+2 \right|-12=-7\]
Do you understand why we split the equation from one into two?
yes and the how do i find x value?
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