math

4(10-x)=-7(x+1)

Multiply it out.

40-4x=-7x-7

Add 7 to both sides.

47-4x=-7x

Add 4x to both sides.

47=-3x

Multiply both sides by -1.

-47=3x

Divide both sides by 3.

-47/3=x

That is your answer.

(If what you want is x.)