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Chapter 3: Q23. (page 133)

Solve the equation. Check your solution.

9+2x=3x-2

Short Answer

Expert verified

The solution for the equation 9+2x=3x-2 is x=11.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

9+2x=3x鈭�29+2x鈭�2x=3x鈭�2x鈭�2Subtract2xfrombothsides9=x鈭�2Simplify

02

– Solve for x

9+2=x鈭�2+2Add2tobothsidesx=11Simplify

Therefore, the solution of the equation is x=11.

03

– Check the solution 

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

2-4h-13=37+13h

Now, substitute x=11 and check the result.

9+2脳11=3脳11鈭�29+22=33鈭�231=31

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

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