0.5x-0.5(2-x)=3(4-5x)-1x

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Solution for 0.5x-0.5(2-x)=3(4-5x)-1x equation: 



0.5x-0.5(2-x)=3(4-5x)-1x

We move all terms to the left:

0.5x-0.5(2-x)-(3(4-5x)-1x)=0

We add all the numbers together, and all the variables

0.5x-0.5(-1x+2)-(3(-5x+4)-1x)=0

We multiply parentheses

0.5x+0.5x-(3(-5x+4)-1x)-1=0



We calculate terms in parentheses: -(3(-5x+4)-1x), so:

3(-5x+4)-1x

We add all the numbers together, and all the variables

-1x+3(-5x+4)

We multiply parentheses

-1x-15x+12

We add all the numbers together, and all the variables

-16x+12

Back to the equation:

-(-16x+12)



We add all the numbers together, and all the variables

x-(-16x+12)-1=0

We get rid of parentheses

x+16x-12-1=0

We add all the numbers together, and all the variables

17x-13=0

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

17x=13

x=13/17

x=13/17

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