The solution to -2[1 - 4x] = 3x + 8 is

 " 14 " .

     →  " x = 14 " .

Step-by-step explanation:

First, let us simplify the expression on the "left-hand side" of the equation:

  →  -2(1 −4x) ;

Note the "distributive property of multiplication" :

      →  a(b + c)  =  ab + ac  .

As such, we can rewrite:  

      → -2(1 − 4x)  = (-2)(1) + (-2)(-4x) ;

                         =  - 2 + 8x ;

                       ↔  8x − 2 ;

Now, rewrite the entire expression:

 →  8x − 2 = 3x + 8 ;

Subtract "(3x)" from each side of the equation;

      and add "2" to each side of the equation:

 →  8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:  

 →   5x = 10 ;

Now, divide each side of the equation by "5" ;

  to isolate "x" on side of the equation;

      & to solve for "x" ;

 →  5x/5 = 10/5 ;

to get:

 →  x = 2 .

Now, let us check our work:

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;  

      when "x = 2" :

Note the given equation:

   →   -2[1 − 4x] = 3x + 8 ;

Start with the left-hand side:

   →  -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

   →  3(2) + 8 = 6 + 8 = 14 .

   → 14 =? 14 ??? ;  Yes!

Hope this is helpful to you!

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