Measuring Segments and Intersections

solve for x

 " x = 5 " .

Step-by-step explanation:

(2x + 10) + (x - 4)  = 21 ;  Solve for x :

2x + 10 + x - 4  = 21 ;

On the "left-hand-side" of the equation;

combine the "like terms:  

 +2x + x = + 3x ;

 + 10 - 4 = + 6 ;

and rewrite the equation:

  3x + 6 = 21 ;

Subtract "6" from each side of the equation:

  3x + 6 - 6 = 21 - 6 ;

to get:

  3x = 15 ;

Now, divide each side of the equation by "3" ;

to isolate "x" on one side of the equation;

 & to solve for "x" ;

  3x / 3 = 15 / 3 ;

 to get:

  " x = 5 " .

Hope this answer—and explanation—is helpful to you!