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Solve 3 (x+4) −5 = −1 (x−4) for x

1 Answer

5 votes

Answer

x = -3/4

Explanation


3(x+4)-5=-1(x-4)

Distributing:


\begin{gathered} (3x+3\cdot4)-5=-x+(-1)\operatorname{\cdot}(-4) \\ 3x+12-5=-x+4 \\ 3x+7=-x+4 \end{gathered}

Adding x and subtracting 7 at both sides of the equation:


\begin{gathered} 3x+7+x-7=-x+4+x-7 \\ 4x=-3 \end{gathered}

Dividing by 4 at both sides of the equation:


\begin{gathered} (4x)/(4)=-(3)/(4) \\ x=-(3)/(4) \end{gathered}

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