3(x-5)=2(10-x)

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Solution for 3(x-5)=2(10-x) equation: 



3(x-5)=2(10-x)

We move all terms to the left:

3(x-5)-(2(10-x))=0

We add all the numbers together, and all the variables

3(x-5)-(2(-1x+10))=0

We multiply parentheses

3x-(2(-1x+10))-15=0



We calculate terms in parentheses: -(2(-1x+10)), so:

2(-1x+10)

We multiply parentheses

-2x+20

Back to the equation:

-(-2x+20)



We get rid of parentheses

3x+2x-20-15=0

We add all the numbers together, and all the variables

5x-35=0

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

5x=35

x=35/5

x=7

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