Respuesta :

Answer:

x=-5

Step-by-step explanation:

First, you have to cross multiply.

2*2x+3     1*3x+1

4x+6=3x+1

Then, you subtract 3x from both sides.

4x+6=3x+1

-3x     -3x

x+6=1

Next, you subtract 6 from both sides.

x+6=1

    -6  -6

x=-5

cosmickid287

Answer:

x = -5 (process below)

Step-by-step explanation:

1) To solve this easily, you can cross multiply. Multiply the numerator of the first fraction with the denominator of the second fraction, and multiply the denominator of the first fraction with the numerator of the second fraction:

[tex]\frac{2}{3x+1} = \frac{1}{2x+3} \\2(2x +3) = 1(3x + 1)\\4x + 6 = 3x + 1[/tex]

2) Next, isolate x to find its values. Subtract both sides by 3x.

[tex]4x + 6 = 3x +1\\x + 6 = 1[/tex]

3) Finally, subtract both sides by 6.

[tex]x + 6 = 1 \\x = -5[/tex]

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