Answer:
Step 1
Use the distributive property to multiply 22 by x-5x−5.
|2x-10|+11=17∣2x−10∣+11=17
Hint
Expand using distributive property.
Step 2
Subtract 1111 from both sides.
|2x-10|=17-11∣2x−10∣=17−11
Step 3
Subtract 1111 from 1717 to get 66.
|2x-10|=6∣2x−10∣=6
Hint
Subtract one term from another.
Step 4
Use the definition of absolute value.
2x-10=62x−10=6 2x-10=-62x−10=−6
Step 5
Add 1010 to both sides of the equation.
2x=162x=16 2x=42x=4
Step 6
Divide both sides by 22.
x=8x=8 x=2x=2
Solution
x=2x=2
x=8x=8
Step-by-step explanation:
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