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

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



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

We move all terms to the left:

2(3x-5)-4x-(3(2-x)-6)=0

We add all the numbers together, and all the variables

2(3x-5)-4x-(3(-1x+2)-6)=0

We add all the numbers together, and all the variables

-4x+2(3x-5)-(3(-1x+2)-6)=0

We multiply parentheses

-4x+6x-(3(-1x+2)-6)-10=0



We calculate terms in parentheses: -(3(-1x+2)-6), so:

3(-1x+2)-6

We multiply parentheses

-3x+6-6

We add all the numbers together, and all the variables

-3x

Back to the equation:

-(-3x)



We add all the numbers together, and all the variables

2x-(-3x)-10=0

We get rid of parentheses

2x+3x-10=0

We add all the numbers together, and all the variables

5x-10=0

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

5x=10

x=10/5

x=2

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