Answered

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Solve 3 (x+4) −5 = −1 (x−4) for x

Sagot :

Answer

x = -3/4

Step-by-step explanation

[tex]3(x+4)-5=-1(x-4)[/tex]

Distributing:

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

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

[tex]\begin{gathered} 3x+7+x-7=-x+4+x-7 \\ 4x=-3 \end{gathered}[/tex]

Dividing by 4 at both sides of the equation:

[tex]\begin{gathered} \frac{4x}{4}=-\frac{3}{4} \\ x=-\frac{3}{4} \end{gathered}[/tex]

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