30(x-1)=-6(5-x)+24

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Solution for 30(x-1)=-6(5-x)+24 equation: 



30(x-1)=-6(5-x)+24

We move all terms to the left:

30(x-1)-(-6(5-x)+24)=0

We add all the numbers together, and all the variables

30(x-1)-(-6(-1x+5)+24)=0

We multiply parentheses

30x-(-6(-1x+5)+24)-30=0



We calculate terms in parentheses: -(-6(-1x+5)+24), so:

-6(-1x+5)+24

We multiply parentheses

6x-30+24

We add all the numbers together, and all the variables

6x-6

Back to the equation:

-(6x-6)



We get rid of parentheses

30x-6x+6-30=0

We add all the numbers together, and all the variables

24x-24=0

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

24x=24

x=24/24

x=1

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