Question

Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3 x minus 5 = negative 2 x + 10?
A) x = 5
B) –5 = x
C) –15 = –5x
D) –5x = 15

Answer 1

Answer:

C) –15 = –5x

Step-by-step explanation:

3x - 5 = - 2x + 10

+2x       +2x            Add 2x to both sides

5x - 5 = 10

    +5    +5             Add 5 to both sides

5x = 15                   Divide both sides by 5

x = 3

The closest answer would be C because it equals the same answer.

Answer 2

-15 = -5x shows the variable terms isolated on one side and the constant term isolated on the other side.

Solution:

Given that, we have to find the equation that shows variable terms isolated on one side and the constant terms isolated on the other side for the equation

Given equation is:

3x - 5 = -2x + 10

Let us first solve the given equation

We can solve the equation and find value for "x" by keeping the variable "x" on one side and move the constants to other side

Move 3x from left side to right side

-5 = -2x + 10 - 3x

Move 10 from right side to left side

-5 - 10 = -2x - 3x

Combine the like terms

-15 = -5x

The above equation shows the variable terms isolated on one side and the constant term isolated on the other side.