Question

Solve for x .-2z-xy=z+7

Answer 1

-2z - xy = z + 7

You are solving for x. Note the equal sign. What you do to one side, you do to the other. Isolate the x.

First, add 2z to both sides

-2z (+2z) - xy = z + 7 (+2z)

Simplify. Combine like terms

-xy = z + 2z + 7

-xy = 3z + 7

Completely isolate the x. Divide -y from both sides

(-xy)/-y = (3z + 7)/-y

x = (3z + 7)/-y

Simplify

z = (3z + 7)/(-y) is your answer

hope this helps

Answer 2

$-2z-xy=z+7\ \ \ \ |+2z\\\\-xy=3z+7\ \ \ \ |:(-y)\neq0\\\\x=\dfrac{3z+7}{-y}\\\\\boxed{x=-\dfrac{3z+7}{y}}$