madisynwatkins14 madisynwatkins14
  • 24-07-2022
  • Mathematics
contestada

what is 4x-5/3+2x=7+2/9x+2

Respuesta :

barackodam barackodam
  • 25-07-2022

Simplifying the expression gives 36x^2 - 82x - 10 = 0

How to simplify the expression

Given the expression;

4x-5/3+2x=7+2/9x+2

[tex]\frac{4x - 5}{3 + 2x} = \frac{9}{9x + 2}[/tex]

Cross multiply

[tex]4x - 5( 9x + 2) = 9 (3 + 2x)[/tex]

Expand the bracket

[tex]36x^2 + 8x - 45x - 10 = 27x + 18x[/tex]

Collect like terms

36x^2 + 8x - 45x - 27x - 18x = 0

Add the like terms

36x^2- 82x - 10 = 0

Thus, simplifying the expression gives 36x^2- 82x - 10 = 0

Learn more about algebraic expressions here:

https://brainly.com/question/723406

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