2(3x-7)+6(x-5)=3(4-5x)+5x-14

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Solution for 2(3x-7)+6(x-5)=3(4-5x)+5x-14 equation: 



2(3x-7)+6(x-5)=3(4-5x)+5x-14

We move all terms to the left:

2(3x-7)+6(x-5)-(3(4-5x)+5x-14)=0

We add all the numbers together, and all the variables

2(3x-7)+6(x-5)-(3(-5x+4)+5x-14)=0

We multiply parentheses

6x+6x-(3(-5x+4)+5x-14)-14-30=0



We calculate terms in parentheses: -(3(-5x+4)+5x-14), so:

3(-5x+4)+5x-14

We add all the numbers together, and all the variables

5x+3(-5x+4)-14

We multiply parentheses

5x-15x+12-14

We add all the numbers together, and all the variables

-10x-2

Back to the equation:

-(-10x-2)



We add all the numbers together, and all the variables

12x-(-10x-2)-44=0

We get rid of parentheses

12x+10x+2-44=0

We add all the numbers together, and all the variables

22x-42=0

We move all terms containing x to the left, all other terms to the right

22x=42

x=42/22

x=1+10/11

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