RomyS370905 RomyS370905
  • 30-10-2022
  • Mathematics
contestada

what is the solution to this equation3(4x+6)=9x+12

Respuesta :

EarlB786534 EarlB786534
  • 30-10-2022
[tex]3\left(4x+6\right)=9x+12​[/tex]

Step 1

use distributive property

[tex]\begin{gathered} 3\left(4x+6\right)=9x+12​ \\ 12x+18=9x+12 \end{gathered}[/tex]

Step 2

move all terms with x in the left, and the numbers in the rigth

[tex]\begin{gathered} 12x+18=9x+12 \\ 12x-9x=12-18 \\ 3x=-6 \\ \end{gathered}[/tex]

Step 3

divide each side by 3

[tex]\begin{gathered} 3x=-6 \\ \frac{3x}{3}=\frac{-6}{3} \\ x=-2 \end{gathered}[/tex]

so,the answer is -2

Answer Link

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