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

We move all terms to the left:

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

We multiply parentheses

4x-(-5(x-3))-8-5=0

We calculate terms in parentheses: -(-5(x-3)), so:We add all the numbers together, and all the variables

-5(x-3)

We multiply parentheses

-5x+15

Back to the equation:

-(-5x+15)

4x-(-5x+15)-13=0

We get rid of parentheses

4x+5x-15-13=0

We add all the numbers together, and all the variables

9x-28=0

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

9x=28

x=28/9

x=3+1/9

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