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Solve the value of the varibale in the equation 3(x - 6) = x + 2​

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GABRIELCUYAGO

Direction: Solve the value of the variable in the equation 3(x - 6) = x + 2​

Answer: x=10

Solution:

#TO FIND X

3(x - 6)=x + 2​

3x-18=x+2

3x-x=2+18

2x=20

2x/2=20/2 (Divide both sides by 2)

x=10

#Check first

#Substitute x by 10

#If x=10

3x-18=x+2

3(10)-18=(10)+2

(30)-18=10+2

12=12 (This solution is true)

Explanation: They are both equal and correct to each other.

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Given:

  • [tex] \large \tt 3(x - 6) = x + 2[/tex]

Solution:

  • [tex] \large \tt 3(x - 6) = x + 2 \\ \: \large \tt 3x - 18 = x + 2 \\ \: \: \: \large \tt 3x - x = 2 + 8 \\ \: \: \: \: \: \: \large \tt \frac{ \cancel2x}{ \cancel2} = \frac{20}{2} \\ \: \: \: \: \: \: \: \: \large{ \boxed{ \color{blue}{ \tt{ x = 10}}}}[/tex]

Checking:

  • [tex] \large \tt 3(x - 6) = x + 2 \\ \: \large \tt 3x - 18 = x + 2 \\ \: \: \: \: \large \tt 3(10) - 8 = (10) + 2 \\ \large \tt 30 - 18 = 12 \: \: \: \: \: \\ \: \: \: \: \: \: \large{ \boxed{ \color{green}{ \tt{ 12 = 12}}}}[/tex]

Answer:

  • The value of the variables "x" is 10

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