Respuesta :

The value of x is [tex]x=5[/tex]

Step-by-step explanation:

The equation we have is:

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

We start by applying the distributive property to rewrite the terms in the brackets:

[tex]2x + 2\cdot 3 = 4x - 4\cdot 1\\2x+6=4x-4[/tex]

Now we subtract [tex]-2x[/tex] on both sides:

[tex]2x+6-2x = 4x-4-2x\\6 = 2x-4[/tex]

Now we add +4 on both sides:

[tex]6+4 = 2x-4+4\\10 = 2x[/tex]

And now we divide by 2 on both sides:

[tex]\frac{10}{2}=\frac{2x}{2}\\x=\frac{10}{2} = 5[/tex]

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Answer:

x=5

Step-by-step explanation:

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