(-2x-1)/(-x+3)=4

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Solution for (-2x-1)/(-x+3)=4 equation: 



(-2x-1)/(-x+3)=4

We move all terms to the left:

(-2x-1)/(-x+3)-(4)=0



Domain of the equation: (-x+3)!=0

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

-x!=-3

x!=-3/-1

x!=+3

x∈R



We add all the numbers together, and all the variables

(-2x-1)/(-1x+3)-4=0

We multiply all the terms by the denominator


(-2x-1)-4*(-1x+3)=0

We multiply parentheses

(-2x-1)+4x-12=0

We get rid of parentheses

-2x+4x-1-12=0

We add all the numbers together, and all the variables

2x-13=0

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

2x=13

x=13/2

x=6+1/2

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