bridgesglover45 bridgesglover45
  • 15-09-2020
  • Mathematics
contestada

Solve the following equation. 3(2x - 4) = 4(x + 1) x=?

Respuesta :

Estellia
Estellia Estellia
  • 15-09-2020

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

[tex]3\left(2x-4\right)=4\left(x+1\right)[/tex]

Expand:

[tex]3\times 2x-3\times 4=4x+4\times 1[/tex]

[tex]6x-12=4x+4[/tex]

Add 12 to both sides:

[tex]6x-12+12=4x+4+12[/tex]

[tex]6x=4x+16[/tex]

Subtract 4x from both sides:

[tex]6x-4x=4x+16-4x[/tex]

[tex]2x=16[/tex]

Divide both sides by 2:

[tex]\frac{2x}{2}=\frac{16}{2}[/tex]

[tex]x=8[/tex]

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