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Chapter 1: Q40 (page 10)

Find the value of the variable.

5x+180鈭�x=300

Short Answer

Expert verified

The value of the variable is x=30.

Step by step solution

01

Step 1. Combine the like terms.

First remove all the brackets and combine the like terms 5xand x.

5x+180鈭�x=3005x+180鈭�x=3004x+180=300

02

Step 2. Subtract 180.

To find the value of variable x in the equation 4x+180=300, subtract 180 from both sides of the equation.

4x+180鈭�180=300鈭�1804x=120

03

Step 3. Divide by 4.

Divide both sides of the equation 4x=120 by 4 and cancel the common factors of 4 on both sides.

4x4=1204x=30脳44x=30

04

Step 4. Verify the value.

In order to verify the value of x, substitute 30 for x into the equation 7h+90鈭�h=210.

5脳30+180鈭�30=300150+150=300300=300True

Hence, the value of the variable is x=30.

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