Question

Solve the equation ax-k=3(x+h) for x in terms of a, k, and h.

Answer 1

$ax-k=3(x+h)\ \ \ \ |\text{use distributive property}\\\\ax-k=(3)(x)+(3)(h)\\\\ax-k=3x+3h\ \ \ \ |+k\\\\ax=3x+3h+k\ \ \ \ \ |-3x\\\\ax-3x=3h+k\\\\(a-3)x=3h+k\ \ \ \ |:(a-3)\neq0\\\\\boxed{x=\dfrac{3h+k}{a-3}}$