Question 255246
|4x+3|=9 


Remove the absolute value term. This creates a  on the right-hand side of the equation because  

 


Set up the 

4x+3=9 


Move all terms not containing x to the right-hand side of the equation. 

4x=6 


Divide each term in the equation by 4. 

 


Set up the - portion of the  solution. 

4x+3=-(9) 


Multiply -1 by the 9 inside the parentheses. 

4x+3=-9 


Since 3 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 3 from both sides. 

4x=-3-9 


Subtract 9 from -3 to get -12. 

4x=-12 


Divide each term in the equation by 4. 

 


Simplify the left-hand side of the equation by canceling the common factors. 

 


Simplify the right-hand side of the equation by simplifying each term. 

x=-3 


The solution to the equation includes both the positive and negative portions of the solution.