Question

3x+2/x - 6 = -7 solve the question

Answer 1

Step-by-step explanation:

• Steps

       $\frac{3x + 2}{x - 6} = -7$

• Multiply both sides by x - 6

       $\frac{3x+2}{x-6} (x-6) = - 7 (x -6)$  

     

• Simplify

        $3x + 2=-7(x-6)$

• Expand -7(x - 6) :     -7x + 42

       $3x+2=-7+42$

• Subtract 2 from both sides

        $3x+2-2=-7x+42-2$

• Simplify

        $3x=-7+40$

• Add 7x to both sides

       $3x+7x = -7x +40+7x$

• Simplify

        $10x=40$

• Divide both sides by 10

       $\frac{10x}{10} = \frac{40}{10}$

• Simplify

        $x=4$

Answer:

x = 4

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