Question

Solve: |2(x-5)|+11=17​

Answer 1

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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