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Chapter 3: Q34. (page 133)

Solve the equation. Check your solution.

3x-7=8+6x+2

Short Answer

Expert verified

The solution for the equation 3x-7=8+6x+2 is x=-9.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

3x鈭�7=8+6x+23x鈭�7=8+6x+12Usedistributiveproperty3x鈭�6x鈭�7=20+6x鈭�6xSubtract6xfrombothsides鈭�3x鈭�7=20Simplify鈭�3x鈭�7+7=20+7Add7tobothsides鈭�3x=27Simplify

02

– Solve for x

Now, divide both sides of the equation by -3.

鈭�3x鈭�3=27鈭�3x=鈭�9

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

03

– Check the solution 

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

3x-7=8+6x+2

Now, substitute x=-9 and check the result.

3鈭�9鈭�7=8+6鈭�9+2鈭�27鈭�7=8+6鈭�7鈭�34=8鈭�42鈭�34=鈭�34

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

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