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Chapter 3: Q8. (page 127)

Solve the equation. Check your solution.

5+2(x-2)=19

Short Answer

Expert verified

The solution for the equation 5+2(x鈭�2)=19isx=9.

Step by step solution

01

Step 1. Separate the variable and constants

Write the original equation and separate the variable and constants.

5+2(x鈭�2)=195+2x鈭�4=192x+1=192x鈭�1+1=19鈭�12x=18

02

Step 2. Solve for x

Now, divide both sides of the equation by 2.

2x2=182x=9

Therefore, the solution of the equation is x=9.

03

Step 3. Check the solution 

To check the solution, write the original equation and substitute the value ofx.

5+2(x鈭�2)=19

Now, substitute x=9and check the result.

5+2(9鈭�2)=195+2(7)=195+14=1919=19

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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