Respuesta :

Answer:

x=-16/3 (-5.33)

Step-by-step explanation:

3(x-2)+4x=10(x+1)

3x-6+4x=10x+10

7x-6=10x+10

-6-10=10x-7x

-16=3x

x=-16/3

Answer: [tex]x=-\frac{16}{3}[/tex]

Step-by-step explanation:

Given the equation [tex]3(x - 2) + 4x = 10(x+ 1)[/tex], you need to solve for the variable "x":

Apply Distributive property:

[tex]3x - 6 + 4x = 10x +10[/tex]

Add the like terms:

[tex]7x - 6= 10x+10[/tex]

Subtract 10 to both sides of the equation:

[tex]7x - 6-10= 10x +10-10\\\\7x-16=10x[/tex]

Subtract [tex]7x[/tex] from both sides:

[tex]7x-16-7x=10x-7x\\\\-16=3x[/tex]

And finally divide both sides by 3:

[tex]\frac{-16}{3}=\frac{3x}{3}\\\\x=-\frac{16}{3}[/tex]

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