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]