Solve each given equation and show your work tell whether each equation has one solution infinite number of solutions or no solutions.
(a) 2x+4(x-1)=2+4x
(b) 25-x=15-(3x+10)
(c) 4x=2x+2x+5(x-x)

  (a)  x = 3, one solution

  (b)  x = -10, one solution

  (c)  infinite solutions

Step-by-step explanation:

In each case, we can subtract the right side from both sides and simplify.

(a)

  (2x +4(x -1)) -(2 +4x) = 0

  2x +4x -4 -2 -4x = 0 . . . . . . eliminate parentheses

  2x -6 = 0 . . . . . . . . . . . . . . . collect terms

  x - 3 = 0 . . . . . . . . . . . . . . . . divide by 2

  x = 3 . . . . . . . . . . . . . . . . . . . add 3, one solution

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(b)

  25 -x -(15 -(3x +10)) = 0

  25 -x -15 +3x +10 = 0 . . . . . . eliminate parentheses

  2x +20 = 0 . . . . . . . . . . . . . . .collect terms

  x +10 = 0 . . . . . . . . . . . . . . . . divide by 2

  x = -10 . . . . . . . . . . . . . . . . . . add -10, one solution

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(c)

  4x - (2x+2x+5(x-x)) = 0

  4x -2x -2x +0 = 0

  0 = 0 . . . . . . . . . . . . . . . . . . . true for all values of x, infinite solutions

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.