Question

Which of the following represents the variables of the equation collected on one side of the equation and the constants collected on the other?

−21x+24=−56x−46

A. 77x = 70
B. 35x = -70
C. 35x = -22
D. 35x = 22

Answer 1

To solve the given equation, −21x + 24 = −56x − 46, we need to move the variables to one side and the constants to the other, resulting in the equation 35x = −70, which corresponds to option B.

Step-by-step explanation:

To solve the equation −21x + 24 = −56x − 46, we need to collect the variables on one side and constants on the other. We'll begin by adding 56x to both sides to get all the x terms on one side, and then we'll add 46 to both sides to move the constants to the other side:

• Add 56x to both sides: −21x + 56x + 24 = −56x + 56x − 46, simplifying to 35x + 24 = −46.
• Add 46 to both sides: 35x + 24 + 46 = −46 + 46, simplifying to 35x = −70.

This gives us the final equation in the form of variables on one side and constants on the other, which matches option B: 35x = −70.