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Question 255246: |4x+3|=9
Answer by jmorgan22(8)   (Show Source):
You can put this solution on YOUR website! |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.
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