Select the INCORRECT step in simplification of the given equation:

$3 (x + 2) = 4 (2 x - 1)$
Step-1: $3 x + 6 = 8 x - 4$ (open brackets) Step-2: $8 x - 3 x = 6 + 4$ (combining like terms)
Step-3: $5 x = 15$
Step-4: $x = 2$ (dividing by $5$ on both sides)

Step-2

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Step-1

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Step-3

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Solution

The correct option is D Step-3
Given equation is $3 (x + 2) = 4 (2 x - 1)$
Let’s start solving this equation step by step.
Step-1: Open the brackets, that is,
$3 x + 6 = 8 x - 4$ (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, $8 x - 3 x = 6 + 4$ (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, $5 x = 10$
Step-4: Divide by 5 on both the sides, that is, $x = 2$
It is clear that ‘step-3’ where we got
‘ $5 x = 10$ ’, does not match with the step-3 of the question, as in the question, it is given as $5 x = 15$ .
So, step-3 given in the question is an incorrect step.

Option (C) is the right answer.

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$(i) \frac{1}{3} x - 6 = \frac{5}{2} (i i) \frac{2 x}{3} - \frac{3 x}{8} = \frac{7}{12} (i i i) (x + 2) (x + 3) + (x - 3) (x - 2) - 2 x (x + 1) = 0 (i v) \frac{1}{10} - \frac{7}{x} = 35 (v) 13 (x - 4) - 3 (x - 9) - 4 (x + 4) = 0 (v i) x + 7 - \frac{8 x}{3} = \frac{17 x}{6} - \frac{5 x}{8} (v i i) \frac{3 x - 2}{4} - \frac{2 x + 3}{3} = \frac{2}{3} - x (v i i i) \frac{x + 2}{6} - (\frac{11 - x}{3} - \frac{1}{4}) = \frac{3 x - 4}{12} (i x) \frac{2}{5 x} - \frac{5}{3 x} = \frac{1}{15} (x) \frac{x + 2}{3} - \frac{x + 1}{5} = \frac{x - 3}{4} - 1 (x i) \frac{3 x - 2}{3} + \frac{2 x + 3}{2} = x + \frac{7}{6} (x i i) x - \frac{x - 1}{2} = 1 - \frac{x - 2}{3} (x i i i) \frac{9 x + 7}{2} - (x - \frac{x - 2}{7}) = 36 (x i v) \frac{6 x + 1}{2} + 1 = \frac{7 x - 3}{3}$

Q. The following steps are followed to solve the equation.
Step 1:

5 x + 7 x - 4 x + 2 = 5

Step 2:

12 x - 4 x = 3

Step 3:

8 x = 3

Step 4:

x = 3 \times 8

Which one is the wrong step?

Choose the correct option which gives the steps in finding the value of $x$ in the equation:
$\frac{x}{3} + 4 = 2$

Q. Divide:

4 x^{5} + 7 x^{4} + 14 x^{3} + 3 x^{2} - 8 x + 6

x^{2} + 3 x + 2

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Select the INCORRECT step in simplification of the given equation: 3(x+2)=4(2x –1) Step-1: 3x+6=8x –4 (open brackets) Step-2: 8x – 3x=6+4 (combining like terms) Step-3: 5x=15 Step-4: x=2 (dividing by 5 on both sides)

Select the INCORRECT step in simplification of the given equation:

$3 (x + 2) = 4 (2 x - 1)$
Step-1: $3 x + 6 = 8 x - 4$ (open brackets) Step-2: $8 x - 3 x = 6 + 4$ (combining like terms)
Step-3: $5 x = 15$
Step-4: $x = 2$ (dividing by $5$ on both sides)