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  • 21-03-2019
  • Mathematics
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What is the value of x in the equation 3(4x + 6) = 21?

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carlosego
carlosego carlosego
  • 21-03-2019

For this case we must find the value of the variable "x" of the following equation:

[tex]3 (4x + 6) = 21[/tex]

We apply distributive property to the terms within parentheses:

[tex]12x + 18 = 21[/tex]

We subtract 18 from both sides of the equation:

[tex]12x + 18-18 = 21-18[/tex]

We divide between 12 on both sides of the equation:

[tex]12x = 3[/tex]

[tex]x = \frac {3} {12}\\x = \frac {1} {4}[/tex]

Answer:

[tex]x = \frac {1} {4}[/tex]

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