(0.5z+4)/(1.2z+6)=5/3

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Solution for (0.5z+4)/(1.2z+6)=5/3 equation: 



(0.5z+4)/(1.2z+6)=5/3

We move all terms to the left:

(0.5z+4)/(1.2z+6)-(5/3)=0



Domain of the equation: (1.2z+6)!=0

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

1.2z!=-6

z!=-6/1.2

z!=-5

z∈R



We add all the numbers together, and all the variables

(0.5z+4)/(1.2z+6)-(+5/3)=0

We get rid of parentheses

(0.5z+4)/(1.2z+6)-5/3=0

We calculate fractions


(z+12)/(3z+18)+(-5z-30)/(3z+18)=0

We multiply all the terms by the denominator


(z+12)+(-5z-30)=0

We get rid of parentheses

z-5z+12-30=0

We add all the numbers together, and all the variables

-4z-18=0

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

-4z=18

z=18/-4

z=-4+1/2

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