Question

Solve the equation. $$7 c-3=4(c-3)$$

Short answer

The solution of the equation \(7c - 3 = 4(c - 3)\) is \(c = -3\).

Step-by-step solution

Simplify Right Side of Equation

Apply the distributive property on the right side of the equation, it would result in \(4c - 12\). Thus, the equation can be rewritten as \(7c - 3 = 4c - 12\).

Rearrange Equation to Group Terms with the Variable

Now separately collect variable terms and constants. Subtract \(4c\) from both sides to get \(3c - 3 = -12\).

Isolate Variable

Isolate \(c\) by adding 3 to both sides of the equation, hence \(3c = -9\). Therefore, dividing both sides by 3, gives final variable value as \(c = -3\).