3/5(10x-30)=-1/4(24-8x)

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Solution for 3/5(10x-30)=-1/4(24-8x) equation: 



3/5(10x-30)=-1/4(24-8x)

We move all terms to the left:

3/5(10x-30)-(-1/4(24-8x))=0



Domain of the equation: 5(10x-30)!=0

x∈R





Domain of the equation: 4(24-8x))!=0

x∈R



We add all the numbers together, and all the variables

3/5(10x-30)-(-1/4(-8x+24))=0

We calculate fractions


(12x(-)/(5(10x-30)*4(-8x+24)))+(-(-5x1)/(5(10x-30)*4(-8x+24)))=0



We calculate terms in parentheses: +(12x(-)/(5(10x-30)*4(-8x+24))), so:

12x(-)/(5(10x-30)*4(-8x+24))

We add all the numbers together, and all the variables

12x0/(5(10x-30)*4(-8x+24))

We multiply all the terms by the denominator


12x0

We add all the numbers together, and all the variables

12x

Back to the equation:

+(12x)





We calculate terms in parentheses: +(-(-5x1)/(5(10x-30)*4(-8x+24))), so:

-(-5x1)/(5(10x-30)*4(-8x+24))

We add all the numbers together, and all the variables

-(-5x)/(5(10x-30)*4(-8x+24))

We multiply all the terms by the denominator


-(-5x)

We get rid of parentheses

5x

Back to the equation:

+(5x)



We add all the numbers together, and all the variables

17x=0

x=0/17

x=0

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