# Solve for a |2a-5|=9 |2a-5|=9
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
2a-5=±9
Set up the positive portion of the ± solution.
2a-5=9
Solve the first equation for a.
Move all terms not containing a to the right side of the equation.
Add 5 to both sides of the equation.
2a=9+5
Add 9 and 5.
2a=14
2a=14
Divide each term by 2 and simplify.
Divide each term in 2a=14 by 2.
2a2=142
Cancel the common factor of 2.
Cancel the common factor.
2a2=142
Divide a by 1.
a=142
a=142
Divide 14 by 2.
a=7
a=7
a=7
Set up the negative portion of the ± solution.
2a-5=-9
Solve the second equation for a.
Move all terms not containing a to the right side of the equation.
Add 5 to both sides of the equation.
2a=-9+5
Add -9 and 5.
2a=-4
2a=-4
Divide each term by 2 and simplify.
Divide each term in 2a=-4 by 2.
2a2=-42
Cancel the common factor of 2.
Cancel the common factor.
2a2=-42
Divide a by 1.
a=-42
a=-42
Divide -4 by 2.
a=-2
a=-2
a=-2
The solution to the equation includes both the positive and negative portions of the solution.
a=7,-2
Solve for a |2a-5|=9

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