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anonymous
 one year ago
8(2x – 14) + 13 = 4x – 27 i know x=6 but i need a step by step way how to get it
anonymous
 one year ago
8(2x – 14) + 13 = 4x – 27 i know x=6 but i need a step by step way how to get it

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freckles
 one year ago
Best ResponseYou've already chosen the best response.1I would distribute where possible 8(2x14)=? recall a(b+c)=a*b+a*c

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so then we have: \[16x112+13=4x27\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1now we do have like terms on the left hand side

freckles
 one year ago
Best ResponseYou've already chosen the best response.1that is what I have too... \[16x99=4x27\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1now we need to get the terms with x on one side and the terms without x on the opposing side

freckles
 one year ago
Best ResponseYou've already chosen the best response.1right subtract 4x on both sides

freckles
 one year ago
Best ResponseYou've already chosen the best response.116x4x99=4x4x27 this will make x go away on one side since 4x4x=0 12x99=27

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you mean +99 on both side sright?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[12x99+99=27+99\] yes this would isolate the 12x on the left hand side since 99+99=0 \[12x=27+99\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so we do have like terms on the right hand side 27+99=?

freckles
 one year ago
Best ResponseYou've already chosen the best response.127+99=72 so we have: \[12x=72 \text{ since } 9927=72\] last step is to...

freckles
 one year ago
Best ResponseYou've already chosen the best response.1we want to isolate the x but x is being multiplied by 12

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so divide both sides by?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[12x=72 \\ \frac{12x}{12}=\frac{72}{12} \\ \frac{12}{12}x=\frac{72}{12} \\ 1 x=\frac{72}{12} \text{ since } \frac{12}{12}=1 \\ x=\frac{72}{12} \text{ since } 1x=x\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you just have to reduce 72/12 and you are done (aka divide)
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