Respuesta :

x = 16/7

Step by step explanation :

[tex] \frac{x}{2} - 1 = \frac{3 - x}{5} [/tex]

Taking LCM in Left Hand Side

[tex]⇢ \frac{x - 2}{2} = \frac{3 - x}{5} [/tex]

Now, By cross multiplying ,we get. ..

[tex]⇢5(x - 2) = 2(3 - x)[/tex]

[tex]⇢5x - 10 = 6 - 2x[/tex]

[tex]⇢5x + 2x = 6 + 10[/tex]

[tex]⇢7x = 16[/tex]

[tex]⇢ \boxed{ x = \frac{16}{7} }[/tex]

Answer:

x = 16/7

Step-by-step explanation:

Given

  • x/2 - 1 = 3 - x / 5

Solving

#1) Find the LCM.

  • Product of denominator values
  • 2 x 5 = 10

#2) Multiply both sides by 10.

  • 10(x/2 - 1) = 10(3 - x / 5)
  • 5x - 10 = 2(3 - x)
  • 5x - 10 = 6 - 2x

#3) Bring x terms to the left and numbers to the right.

  • 5x + 2x = 6 + 10
  • 7x = 16
  • x = 16/7

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