CarliJ151511 CarliJ151511
  • 25-10-2022
  • Mathematics
contestada

Solve quickly!3(x+10)=4(x-2)

Respuesta :

DemereY205606 DemereY205606
  • 25-10-2022

ANSWER

x = 38

EXPLANATION

To solve this equation, first, we have to apply the distributive property of multiplication over addition to eliminate the parenthesis,

[tex]\begin{gathered} 3\cdot x+3\cdot10=4\cdot x-4\cdot2 \\ \\ 3x+30=4x-8 \end{gathered}[/tex]

Subtract 3x from both sides of the equation,

[tex]\begin{gathered} 3x-3x+30=4x-3x-8 \\ \\ 30=x-8 \end{gathered}[/tex]

And add 8 to both sides,

[tex]\begin{gathered} 30+8=x-8+8 \\ \\ 38=x \end{gathered}[/tex]

Hence, the solution is x = 38.

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