Respuesta :

Answer:

[tex]x=-5[/tex]

Explanation:

we have

[tex]4+2(x-4)=-7(x+7)[/tex]

Solve for x

That means----> Isolate the variable x

Applying the distributive property both sides

[tex]4+2(x)+2(-4)=-7(x)-7(7)[/tex]

Remember that

[tex](+1)(-1)=-1[/tex]

[tex]4+2x-8=-7x-49[/tex]

Combine like terms left side

[tex]2x-4=-7x-49[/tex]

Adds 7x both sides

[tex]2x-4+7x=-7x-49+7x[/tex]

[tex]9x-4=-49[/tex]

Adds 4 both sides

[tex]9x-4+4=-49+4[/tex]

[tex]9x=-45[/tex]

Divide by 9 both sides

[tex]x=-5[/tex]