Question

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

Answer 1

Answer:

x=2

Step-by-step 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

Answer 2

Answer:

x = 2

Step-by-step 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

$\frac{ - 7x}{ - 7} = \frac{ - 14}{ - 7}$

Calculate

$x = 2$

Hope this helps..

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