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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: Tìm x, biết $\frac{x+2016}{5}$- $\frac{x+2016}{3}$ =$\frac{x}{2}$+1008

Toán Lớp 7: Tìm x, biết
$\frac{x+2016}{5}$- $\frac{x+2016}{3}$ =$\frac{x}{2}$+1008

Comments ( 1 )

  1. Giải đáp:
    $x=-2016$
    Lời giải và giải thích chi tiết:
    $\dfrac{x+2016}{5}-\dfrac{x+2016}3=\dfrac x2+1008\\\Rightarrow \dfrac{x+1}5+\dfrac{2015}5+\dfrac{-x-2016}{3}=\dfrac x2+1008\\\Rightarrow \dfrac{x+1}5+403+\dfrac{-x}{3}-\dfrac{2016}3=\dfrac x2+1008\\\Rightarrow\\\Rightarrow\dfrac{x+1}5+403+\dfrac{-x}3-672=\dfrac x2+1008\\\Rightarrow \dfrac{x+1}{5}+403+\dfrac{-x}{3}=\dfrac x2+1680\\\Rightarrow \dfrac{x+1}{5}+\dfrac{-x}{3}=\dfrac x2+1277\\\Rightarrow \dfrac{3.(x+1)-5x}{15}=\dfrac x2+\dfrac{19155}{15}\\\Rightarrow \dfrac{3.(x+1)-5x}{15}-\dfrac{19155}{15}=\dfrac x2\\\Rightarrow \dfrac{3.(x+1)-5x-19155}{15}=\dfrac{\dfrac{15x}2}{15}\\\Rightarrow 3.(x+1)-5x-19155=\dfrac{15x}2\\\Rightarrow 3x+3-5x-19155=\dfrac{15x}{2}\\\Rightarrow -2x+3-19155=\dfrac {15x}2\\\Rightarrow -2x-19152=\dfrac{15x}{2}\\\Rightarrow -4x-38304=15x\\\Rightarrow -4x-15x=38304\\\Rightarrow -19x=38304\\\Rightarrow x=-2016$

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222-9+11+12:2*14+14 = ? ( )