Question

Explain how solving an equation with variables on both sides of the equation is different than solving an equation with a variable on only one side. Please use an example of each to show your work. You may use these examples or make up your own: 6x -9 = 15 16x - 20 = 44+ 5x show your work and explain your steps and why.

Answer 1

See explanations below

Explanation:

Given the equation

6x-9 = 15

Add 9 to both sides

6x-9+9 = 15+9

6x = 24

x = 24/6

x = 4

For the equation

16x - 20 = 44+ 5x

Since we have x variables on both sides, we will collect the like terms

16x - 5x = 44+20

11x = 64

Divide both sides by 11

11x/11 = 64/11

x = 64/11

x = 5.82

Hence the value of x is 5.82