To solve the inequality 42x + 15 > 3x, the first step is to isolate the variable terms on one side of the inequality. This can be achieved by subtracting 3x from both sides.
After performing this action, the inequality will then be:
42x – 3x + 15 > 0
Which simplifies to:
39x + 15 > 0
This simplification is crucial because it helps in further steps to isolate x completely. The next steps would involve moving the constant term to the other side and then dividing by the coefficient of x.