10+3(x-7)=(-7+x)(-5)+4x+1

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Solution for 10+3(x-7)=(-7+x)(-5)+4x+1 equation: 



10+3(x-7)=(-7+x)(-5)+4x+1

We move all terms to the left:

10+3(x-7)-((-7+x)(-5)+4x+1)=0

We add all the numbers together, and all the variables

3(x-7)-((x-7)(-5)+4x+1)+10=0

We multiply parentheses

3x-((x-7)(-5)+4x+1)-21+10=0

We multiply parentheses ..

3x-((-5x+35)+4x+1)-21+10=0



We calculate terms in parentheses: -((-5x+35)+4x+1), so:

(-5x+35)+4x+1

We add all the numbers together, and all the variables

4x+(-5x+35)+1

We get rid of parentheses

4x-5x+35+1

We add all the numbers together, and all the variables

-1x+36

Back to the equation:

-(-1x+36)



We add all the numbers together, and all the variables

3x-(-1x+36)-11=0

We get rid of parentheses

3x+1x-36-11=0

We add all the numbers together, and all the variables

4x-47=0

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

4x=47

x=47/4

x=11+3/4

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