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Chapter 2: Q. 317 (page 253)

Solve the equation 14(8x+20)=3x鈭�4explaining all the steps of your solution as in the examples in this section.

Short Answer

Expert verified

The solution for the equation14(8x+20)=3x鈭�4is,9.

Step by step solution

01

Step 1. Given information 

14(8x+20)=3x鈭�4.

02

Step 2. First simplify the each side of the given equation by using the distributive property.

14(8x+20)=3x鈭�42x+5=3x-4

Substract 2xon both sides of the equation to get variable on the right side of the equation.

2x-2x+5=3x-2x-45=x-4

03

Step 3. Now add 4 on both the sides of the equation to get constant on the left side of the equation.

5+4=x-4+4x=9

The required solution is,x=9.

04

Step 4. Let us check the answer.

Substitute x=9in the given equation.

14(89+20)=39鈭�414(72+20)=27鈭�41492=2323=23

which is true.

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