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

User Anila
by
8.5k points

2 Answers

4 votes

Answer:

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..

Best regards!!

User Ransaka Ravihara
by
7.7k points
1 vote

Answer:

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

User Henry Ward
by
8.1k points

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