Two sided equations One solution, No solution, All Solutions

Means that only one number can make the statement true

Solutions shown as: x=3, y=8, b=4, x = -5

A way to tell if the equation only has one solutions is that there are a different amount of x's on each side

For example: 4x = 6x or 5x+3= 8x+6

Means that NO number you choose can make the statement true

Solutions look like: 3=5 or -4 = 9 or 2 = -32

A way to tell if the equation is NO solution is that there are the same amount of x's on each side but the constants are different on each side

For Example: 3x +4 = 3x -5 or 6x - 4 = 6x + 10

Means that no matter what number you give me it WILL be a solution to the equation

Solutions look like: 2 = 2 or 4=4 or -3 = -3 or 0 = 0

A way to tell if the equation is ALL solutions is that there are the SAME amount of x's on each side and there are the SAME amount of constants on each side.

For example: 4x + 5 = 4x + 5 or 2x - 3 = 2x -3