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harina [27]
2 years ago
15

0%20%5Cfrac%7B2%7D%7B15%7D%20" id="TexFormula1" title=" \frac{4 + 2x}{6x \:} = \frac{12}{5x} + \frac{2}{15} " alt=" \frac{4 + 2x}{6x \:} = \frac{12}{5x} + \frac{2}{15} " align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
Reika [66]2 years ago
8 0

Answer: x= 26/3

Step-by-step explanation: Solve the rational equation by combining expressions and isolating the variable x.

Let's solve your equation!

4 + 2x /6x  = 12/5x

2x + 4/6x= 12/5x + 2/15

Multiply all terms by x and cancel:

  • 2x + 4/6= 12/5
  • 1/3x + 2/3 = 2/15x = 2/15x + 12/5 - 2/15x (Subtract 2/15x from both sides)
  • 1/5x + 2/3 = 12/5
  • 1/5x + 2/3 -2/3 = 12/5- 2/3 (subtract 2/3 from both sides)
  • 1/5x = 12/5
  • Multiply both sides by 5
  • Check all your answers,
  • x= 26/3

Marianna [84]2 years ago
5 0
X=26/3 is the answer to your question x
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