Question 1208187
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<pre>

To solve this equation, add 3x to both side.  You will get

    2x + 15 + 3x = -3x + 3x,

    5x + 15 = 0.


Now subtract 15 from both sides.  You will get

    5x + 15 - 15 = 0 - 15

    5x = - 15.


Now divide both sides by 5.  You will get

     x = -15/5 = -3.


<U>ANSWER</U>.  x = -3  is the solution.


<U>CHECK</U>.   Left side value is  2x + 15 = 2*(-3) + 15 = -6 + 15 = 9.

         Right side value is  -3x = -3*(-3) = 9.

         Left side value is equal to the right side value; so, the solution is correct.
</pre>

Solved.


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<pre>
The algorithm of solution is THIS:


    - collect the terms with x in the left side of the equation;

    - collect the constant terms in the right side;

    - combine the terms with x in the left side;

    - combine the constant terms in the right side;

    - you will get an equation of the form ax = b.  

    - If coefficient "a" is not zero, divide both sides of the equation by "a".

    - You will get  x = {{{b/a}}}.  It is the solution to given equation.


    - When the solution is obtained, make a check.
  
      To do it, compute separately left side of the equation and right side.
      If the computed values coincide, the solution is correct.
</pre>

It is how students solve simple and simplest linear equations.


What to do and what happens if coefficient "a" is zero, they learn later.



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If you want to see many samples on solving simple and simplest linear equations, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/equations/How-to-solve-a-linear-equation.lesson>HOW TO solve a linear equation</A>

in this site.


Consider this lesson as your textbook, &nbsp;handbook, &nbsp;tutorial and &nbsp;(free of charge) &nbsp;home teacher.


Happy learning &nbsp;(!)