Question

Solve the following equation:
$\frac{6x\:+\:7}{3x\:+2}\:\:=\:\frac{4x\:+\:5}{2x\:+3}$

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Hola ARMY and BLINK ! how are you all ?
btw good evening ʕ ꈍᴥꈍʔ

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Answer 1

6x +7 divided by 3x+2 equals to 2x+7/2

4x+5 divided by 2x+3 equals to 2x+5/3

So the equation becomes:

$\frac{2x + 7}{2} = \frac{2x + 5}{3}$

Then we will cross multiply and the result would be:

3(2x +7) = 2(2x+5)

6x + 21 = 4x + 20

6x - 4x + 21 - 20 = 0

2x + 1 = 0

2x =0 -1

2x = -1

x = -1/2

Answer 2

Step-by-step explanation:

6x +7 divided by 3x+2 equals to 2x+7/2

4x+5 divided by 2x+3 equals to 2x+5/3

So the equation becomes:

\frac{2x + 7}{2} = \frac{2x + 5}{3}

2

2x+7

=

3

2x+5

Then we will cross multiply and the result would be:

3(2x +7) = 2(2x+5)

6x + 21 = 4x + 20

6x - 4x + 21 - 20 = 0

2x + 1 = 0

2x =0 -1

2x = -1

x = -1/2

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