Solve each given equation and show your work. Tell whether each question has one solution, an infinite number of solutions, or no solutions. Explain your answers. (A) 2x+4 (x-1) = 2+4x. (B) 25-x=15 - (3x+10) (C) 4x=2x+2x+5 (x-x)

2x + 4 (x - 1) = 2 + 4x

2x + 4x - 4 = 2 + 4x

6x - 4 = 2 + 4x

6x - 4x = 2 + 4

2x = 6

x = 3 ... there is 1 solution

25 - x = 15 - (3x + 10)

25 - x = 15 - 3x - 10

25 - x = - 3x + 5

3x - x = 5 - 25

2x = - 20

x = - 20/2

x = - 10 ... there is 1 solution

4x = 2x + 2x + 5 (x - x)

4x = 4x + 5x - 5x

4x = 4x ... this has infinite solutions

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if ur equation ends in a variable equaling a number, then there is one solution.

if ur equation ends in something not equal, like 2 = 4, or 4 = 6, then there is 0 solutions.

if ur equation ends in something equal to something, (the same) like 2 = 2, or 4x = 4x, then there is infinite solutions