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Chapter 1: Q34 (page 10)

Find the value of the variable.

3x=2x鈭�17

Short Answer

Expert verified

The value of the variable is x=-17.

Step by step solution

01

Step 1. Subtract 2x.

First subtract 2x from both sides of the equation 3x=2x鈭�17.

3x鈭�2x=2x鈭�17鈭�2x

02

Step 2. Combine the like terms.

To further simplify open the brackets and combine the like terms.

3x鈭�2x=2x鈭�2x鈭�17x=鈭�17

03

Step 3. Verify the value.

In order to verify the value of x, substitute -17 for x into the equation 3x=2x鈭�17.

3脳鈭�17=2脳鈭�17鈭�17鈭�51=鈭�34鈭�17鈭�51=鈭�51True

Hence, the value of the variable is x=鈭�17.

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