kristinakemper101 kristinakemper101
  • 19-09-2019
  • Mathematics
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what is the answer to 5x + 24 = 3(x + 8) + 2x

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Estellia
Estellia Estellia
  • 19-09-2019

Answer:

x can be any real number.

Step-by-step explanation:

[tex]5x + 24 = 3(x + 8) + 2x[/tex]

Expand using the rule:

[tex]x(y + z) = xy + xz[/tex]

Hence,

[tex]5x + 24 = 3 \times x + 3 \times 8 + 2x[/tex]

[tex]5x + 24 = 3x + 24 + 2x[/tex]

[tex]5x + 24 = 5x + 24[/tex]

Subtract 5x+24 from both sides:

[tex]0 = 0[/tex]

This means that there are infinite solutions, and x can be any number.

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