The correct option is D Step-3
Given equation is 3(x+2)=4(2x–1)
Let’s start solving this equation step by step.
Step-1: Open the brackets, that is,
3x+6=8x–4 (as we open the brackets, we multiply each term inside a bracket with the number written outside the bracket).
Step-2: Combine the like terms, that is, 8x–3x=6+4 (we shift the terms containing the variable on one side and the constant terms on the other side). Step-3: Add/subtract accordingly, that is, 5x=10
Step-4: Divide by 5 on both the sides, that is, x=2
It is clear that ‘step-3’ where we got
‘5x=10’, does not match with the step-3 of the question, as in the question, it is given as 5x=15.
So, step-3 given in the question is an incorrect step.
Option (C) is the right answer.