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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

5x-(3(2x-5)-(-3x+2))-5=0



We calculate terms in parentheses: -(3(2x-5)-(-3x+2)), so:

3(2x-5)-(-3x+2)

We multiply parentheses

6x-(-3x+2)-15

We get rid of parentheses

6x+3x-2-15

We add all the numbers together, and all the variables

9x-17

Back to the equation:

-(9x-17)



We get rid of parentheses

5x-9x+17-5=0

We add all the numbers together, and all the variables

-4x+12=0

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

-4x=-12

x=-12/-4

x=+3

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