10(x-2)=-5(4-x)+25

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Solution for 10(x-2)=-5(4-x)+25 equation: 



10(x-2)=-5(4-x)+25

We move all terms to the left:

10(x-2)-(-5(4-x)+25)=0

We add all the numbers together, and all the variables

10(x-2)-(-5(-1x+4)+25)=0

We multiply parentheses

10x-(-5(-1x+4)+25)-20=0



We calculate terms in parentheses: -(-5(-1x+4)+25), so:

-5(-1x+4)+25

We multiply parentheses

5x-20+25

We add all the numbers together, and all the variables

5x+5

Back to the equation:

-(5x+5)



We get rid of parentheses

10x-5x-5-20=0

We add all the numbers together, and all the variables

5x-25=0

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

5x=25

x=25/5

x=5

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