Solve $5 x-c=k$ for $x$.
A. $x=\frac{k+c}{5}$
B. $x=5(k-c)$
C. $x=5(k+c)$
D. $x=\frac{k-c}{5}$

Add c to both sides of the equation: 5 x = k + c .
Divide both sides by 5 to isolate x : x = \frac{k+c}{5}$.
The solution for x is 5 k + c ​ .
The correct answer is A.

Explanation

Understanding the Problem We are given the equation 5 x − c = k and asked to solve for x . This means we want to isolate x on one side of the equation.

Isolating the x term First, we add c to both sides of the equation to get rid of the − c term on the left side: 5 x − c + c = k + c 5 x = k + c

Solving for x Next, we divide both sides of the equation by 5 to isolate x :
5 5 x ​ = 5 k + c ​ x = 5 k + c ​

Finding the Correct Option Therefore, the solution is x = 5 k + c ​ . Comparing this to the given options, we see that it matches option A.


Examples
In physics, this type of equation can represent a force balance where x is a displacement, c is a constant force, and k is the net force. Solving for x tells you how much displacement is needed to achieve that force balance. For example, if you have a spring ( 5 x ) being compressed by a constant force ( c ) and you want a specific net force ( k ), you can calculate the required compression ( x ).

Answered by GinnyAnswer | 2025-07-04