5(x-2)-12=2(10+x)-3x

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Solution for 5(x-2)-12=2(10+x)-3x equation: 



5(x-2)-12=2(10+x)-3x

We move all terms to the left:

5(x-2)-12-(2(10+x)-3x)=0

We add all the numbers together, and all the variables

5(x-2)-(2(x+10)-3x)-12=0

We multiply parentheses

5x-(2(x+10)-3x)-10-12=0



We calculate terms in parentheses: -(2(x+10)-3x), so:

2(x+10)-3x

We add all the numbers together, and all the variables

-3x+2(x+10)

We multiply parentheses

-3x+2x+20

We add all the numbers together, and all the variables

-1x+20

Back to the equation:

-(-1x+20)



We add all the numbers together, and all the variables

5x-(-1x+20)-22=0

We get rid of parentheses

5x+1x-20-22=0

We add all the numbers together, and all the variables

6x-42=0

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

6x=42

x=42/6

x=7

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