Final answer:
To solve the equation 6x - 3 = 4x + 23, we isolate x and simplify the equation to find that x = 13.
Step-by-step explanation:
To solve the equation 6x - 3 = 4x + 23, let's find the value of x that makes this statement true. First, we'll isolate x on one side of the equation by subtracting 4x from both sides:
6x - 4x - 3 = 4x - 4x + 23
2x - 3 = 23
Now, we add 3 to both sides to get x by itself:
2x - 3 + 3 = 23 + 3
2x = 26
Divide both sides by 2 to find the value of x:
2x / 2 = 26 / 2
x = 13
Consequently, the correct solution to the equation is (a) 13, demonstrating the application of step-by-step operations to ascertain the precise value of x satisfying the given equation.