Question

Solve the following for x. 3(x-2)-6x=4(x-5)

Answer 1

x = 2

Explanation:

`3(x - 2) - 6x = 4(x - 5)`

Distribute 3 through the parentheses

`3x - 6 - 6x = 4(x - 5)`

Distribute 4 through the parentheses

`3x - 6 - 6x = 4x - 20`

Collect like terms

`- 3x - 6 = 4x - 20`

Move variable to L.H.S and change it's sign

`- 3x - 4x - 6 = - 20`

Move constant to RHS and change it's sign

`- 3x - 4x = - 20 + 6`

Collect like terms

`- 7x = - 20 + 6`

Calculate

`- 7x = - 14`

Divide both sides of the equation by -7

`( - 7x)/( - 7) = ( - 14)/( - 7)`

Calculate

`x = 2`

Hope this helps..

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Answer 2

x=2

Explanation:

3(x-2)-6x=4(x-5)

Distribute

3x -6 -6x = 4x -20

Combine like terms

-3x-6 = 4x-20

Add 3x to each side

-3x-6+3x = 4x-20+3x

-6 = 7x-20

Add 20 to each side

-6+20 = 7x-20+20

14 = 7x

Divide by 7

14/7 =7x/7

2=x