Question

3x-2/5x-1 = 3x+1/5x+2

Answer 1

3x-2/5x-1=3x+1/5x+2

We move all terms to the left:

3x-2/5x-1-(3x+1/5x+2)=0

Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R

Domain of the equation: 5x+2)!=0

x∈R

We get rid of parentheses

3x-2/5x-3x-1/5x-2-1=0

We multiply all the terms by the denominator

3x*5x-3x*5x-2*5x-1*5x-2-1=0

We add all the numbers together, and all the variables

3x*5x-3x*5x-2*5x-1*5x-3=0

Wy multiply elements

15x^2-15x^2-10x-5x-3=0

We add all the numbers together, and all the variables

-15x-3=0

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

-15x=3

x=3/-15

x=-1/5

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Answer 2

Answer:

$\frac{3x - 2}{5x - 1} = \frac{3x + 1}{5x + 2} \\ \\ 15 {x}^{2} - 4x - 4 = 15 {x}^{2} + 2x - 1 \\ \\ - 6x = 3 \\ \\ x = - 2$