SOLUTION: |4x+3|=9

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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