Question

Solve equation 9(3x+7)-3.5 = -8

Answer 1

Answer:      " x = - 2.5 " .

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Step-by-step explanation:

Given:  

         9(3x + 7) - 3.5  = - 8 ;   Solve for "x" ;

First: Let us add "3.5" ;  to both sides of the equation:

    9(3x + 7) - 3.5   = - 8    ;

                  + 3.5  = + 3.5 ;

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to get:    

    9(3x + 7)           =  - 4.5 ; [Note that " -3.5 + 3.5 = 0" ; [Cancels out to "0".].  

Second: Let us expand the expression on the "left-hand side" of the equation.

 "  9(3x + 7) " ;

Note the "distributive property" of multiplication:

     " a(b + c) = ab + ac " ;

As such:

       9(3x + 7)  =  9(3x) + 9(7)  = 27x + 63 ;

Third:

Now, replace this term for the original expression, on the "left-hand side" of the equation;  & Rewrite the equation:

   27x + 63 = - 4.5 ;

Fourth:  Now, we can divide each side of the equation by "9" ;

(27x + 63) / 9 = (-4.5)/9 ;

to get:

(27x/9) + (63/9) = (-4.5/9) ;

  to get:

   3x + 7 = -0.5 ;            

Fifth:

Subtract "7" ; from Each side of the equation:

   3x + 7   =  -0.5 ;

        - 7   =   - 7  ;

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to get:

  3x          =   -7.5 ; [Note that " +7 - 7 = 0" ; [Cancels out to "0".]  ;

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Sixth:  Divide each side of the equation by "3";  

            to isolate "x" on one side of the equation; & to solve for "x" ;

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  3x / 3  =  -7.5 / 3 ;

 to get:

    x = - 2.5 .

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Hope this helps!  

 Best wishes!

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Answer 2

Step-by-step explanation:

Hey there!

Given;

$9(3x + 7) - 3.5 = - 8$

Perform the operations in left side.

$27x + 63 - 3.5 = - 8$

Simplify the like terms and find value of x.

$27x + 59.5 = - 8$

$27x = - 8 - 59.5$

$27x = - 67.5$

$x = \frac{ - 67.5}{27}$

Therefore the value of x is "-2.5".

Check;

9(3×-2.5+7) - 3.5 = -8

-4.5 - 3.5 = -8

-8 = -8 (True).

Hope it helps...