Question

Solve the equation -21x + 24 = -56x - 46.

a) x = 70
b) x = -70
c) x = -22
d) x = 22

Answer 1

After simplifying the equation, we find that x equals -22. Thus The correct option is c.

Step-by-step explanation:

To solve the given equation, we'll first combine like terms on each side. Adding 21x to both sides and subtracting 24 from both sides, we get 80 = -35x - 46. Next, isolating the variable, we add 46 to both sides, resulting in 126 = -35x. Finally, dividing both sides by -35 gives us x = -22.

In summary, the solution to the equation is x = -22. The process involved combining like terms, isolating the variable, and performing necessary arithmetic operations.

Answer 2

To solve the linear equation -21x + 24 = -56x - 46, we perform algebraic operations to isolate x, which results in the solution x = -2. This solution is not listed in the given options, suggesting a possible error in the question or options provided. None of the above option is correct.

Step-by-step explanation:

To solve the equation -21x + 24 = -56x - 46, we need to isolate the variable x on one side of the equation. First, let's move all the x terms to the same side of the equation by adding 56x to both sides:

-21x + 56x + 24 = -56x + 56x - 46

Which simplifies to:

35x + 24 = -46

Next, let's move the constant terms to the other side by subtracting 24 from both sides:

35x + 24 - 24 = -46 - 24

Which simplifies to:

35x = -70

Finally, divide both sides by 35 to solve for x:

35x / 35 = -70 / 35

Which gives us the solution:

x = -2

The correct answer is not listed among the given options, which indicates there might be a mistake in the options provided or in the initial question.

None of the above option is correct.