1/2(12m+4-2m)+5(2m-1)-(3m+9)=2m+1/4(8m-12m+80)

Solution for 1/2(12m+4-2m)+5(2m-1)-(3m+9)=2m+1/4(8m-12m+80) equation:

1/2(12m+4-2m)+5(2m-1)-(3m+9)=2m+1/4(8m-12m+80)

We move all terms to the left:

1/2(12m+4-2m)+5(2m-1)-(3m+9)-(2m+1/4(8m-12m+80))=0


Domain of the equation: 2(12m+4-2m)!=0

m∈R



Domain of the equation: 4(8m-12m+80))!=0

m∈R


We add all the numbers together, and all the variables

1/2(10m+4)+5(2m-1)-(3m+9)-(2m+1/4(-4m+80))=0

We multiply parentheses

1/2(10m+4)+10m-(3m+9)-(2m+1/4(-4m+80))-5=0

We get rid of parentheses

1/2(10m+4)+10m-3m-(2m+1/4(-4m+80))-9-5=0

We calculate fractions


10m-3m+(4m(-)/(2(10m+4)*4(-4m+80)))+(-(2m+2m1)/(2(10m+4)*4(-4m+80)))-9-5=0


We calculate terms in parentheses: +(4m(-)/(2(10m+4)*4(-4m+80))), so:

4m(-)/(2(10m+4)*4(-4m+80))

We add all the numbers together, and all the variables

4m0/(2(10m+4)*4(-4m+80))

We multiply all the terms by the denominator


4m0

We add all the numbers together, and all the variables

4m

Back to the equation:

+(4m)



We calculate terms in parentheses: +(-(2m+2m1)/(2(10m+4)*4(-4m+80))), so:

-(2m+2m1)/(2(10m+4)*4(-4m+80))

We add all the numbers together, and all the variables

-(+4m)/(2(10m+4)*4(-4m+80))

We multiply all the terms by the denominator


-(+4m)

We get rid of parentheses

-4m

Back to the equation:

+(-4m)


We add all the numbers together, and all the variables

11m+(-4m)-14=0

We get rid of parentheses

11m-4m-14=0

We add all the numbers together, and all the variables

7m-14=0

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

7m=14

m=14/7

m=2