Math, asked by runjunsenapati, 5 months ago

3(x/6-1/3)=2(x-1/6) how to solve​

Answers

Answered by prernachaurasia98
1

Hope this will help u...

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Answered by kedarsanika1111
1

Step-by-step explanation:

3(x/6-1/3)=2(x-1/6)

3( \frac{x}{6 }  -  \frac{1}{3} ) = 2(x -  \frac{1}{6} )

Distribute 3 through the parentheses

 \frac{x}{2}  - 1 = 2(x -  \frac{1}{6})

Distribute 2 through the parentheses

 \frac{x}{2}  - 1 = 2x -  \frac{1}{3}

Multiply both sides of the equation by 6

3x - 6 = 12x - 2

Move variables to the left-hand side and change its sign

3x - 12x - 6 =  - 2

Move constant to the right-hand side and change its sign

3x - 12x =  - 2 + 6

Collect like terms

 - 9x =  - 2 + 6

Calculate the sum

 - 9x = 4

Divide both sides of the equation by -9

Solution :

x =  -  \frac{4}{9}

Here is your answer...

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