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(2x+15)/(3x-1)=(-5)
We move all terms to the left:
(2x+15)/(3x-1)-((-5))=0
Domain of the equation: (3x-1)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
3x!=1
x!=1/3
x!=1/3
x∈R
(2x+15)/(3x-1)+5=0
We multiply all the terms by the denominator
(2x+15)+5*(3x-1)=0
We multiply parentheses
(2x+15)+15x-5=0
We get rid of parentheses
2x+15x+15-5=0
We add all the numbers together, and all the variables
17x+10=0
We move all terms containing x to the left, all other terms to the right
17x=-10
x=-10/17
x=-10/17
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