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Chapter 3: Q21. (page 133)

Solve the equation. Check your solution.

3x+6=3x+2

Short Answer

Expert verified

The solution for the equation 3x+6=3x+2 is all real numbers.

Step by step solution

01

– Use distributive property

The distributive property is given as ab+c=ab+ac.

The given equation is 3x+6=3x+2.

So,

3x+6=3x+23x+6=3x+6Usedistributiveproperty

02

– Combine the like terms

Combine the like terms.

3x鈭�3x+6=3x鈭�3x+6subtract3xfrombothsides0+6=0+66=6

Since 6=6 is true, the solution of the equation are all real numbers.

03

– Check the solution

To check the solution, choose any real number as a value of x and substitute in the equation 3x+6=3x+2.

Choose x=1.

Then, substitute x=1 in 3x+6=3x+2 and check the result.

3脳1+6=31+23+6=3脳39=9

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

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