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2 votes
1/2 |2x-3|+5=13
Solve for x

1 Answer

3 votes

Answer:

x=19/2

x=- 13/2

Explanation:

multiply both sides by 2 |2x -3|+10=26

move constant (10 to the right and change sign |2x-3|=26-10

subtract the numbers |2x-3|=16

use absolute value (rewrite the absolute value 2x-3=16

equation as two separate equations one (+) and (-) 2x-3= -16

2x-3=16 move constant to the right

2x=16+3 add the numbers

2x=19 divide both sides by 2

x=19/2

same steps with with second one

2x-2= -16

2x= -16 +3 move constant to the right change sign and add

2x= -13 divide both sides by two

x= -13/2

The | | are not ( ) . They have different meaning , absolute value brackets. ok :)

User Farmerbb
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