Question

How many solutions does 5(x - 2) = 5x - 7 have?

how many solutions does -3(x - 4) = -3x + 4 have?
how many solutions does 4(x + 1) = 3x + 4 have?
how many solutions does -2(x - 3) = 2x - 6 have?
how many solutions does 6(x + 5) = 6x + 11 have?
A LOT OF POINTS GIVEN FOR YOUR ANSWER! *25 POINTS TOTAL!!!!*

Answer 1

One Solution:

4(x+1) = 3x+4

-2(x-3) = 2x-6

Indefinitely Many Solutions:

-3(x-4) = -3x+12

No solution:

5(x-2) = 5x-7

6(x+5) = 6x+11

Answer 2

How many solutions does 5(x - 2) = 5x - 7 have?
5x - 10 ≠ 5x - 7
No solution
----------------

how many solutions does -3(x - 4) = -3x + 4 have?
-3x + 12 ≠ -3x + 4
No solution
---------------

how many solutions does 4(x + 1) = 3x + 4 have?
4x + 4 = 3x + 4
x = 0
1 solution (x = 0)

----------------------
how many solutions does -2(x - 3) = 2x - 6 have?
-2x + 6 = 2x - 6
-4x = -12
x = 3
1 solution (x = 3)

---------------------
how many solutions does 6(x + 5) = 6x + 11 have?
6x + 30 ≠ 6x + 11
No solution