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

Alright,

(a) 2x+4(x-1)=2
2x+4x-4=2 Distrubution of 4(x-1)
6x-4=2 Combining like terms
6x=6 Making -4 equal 0 by adding +4 to both sides
x=1 Divide the coefficiant (6)

(b) 25-x=15-(3x+10)
25-x=15-3x-10Distribute the -1
25-x=5-3x Combine like terms
25=5-2x Make -x equal 0 by adding +x to both sides
20=-2x Make 5 equal zero by subtracting 5 (or adding -5) to both sides
-10=x Divide by the coefficiant (-2)

(c) 4x= 2x+2x+5(x-x)
4x=2x+2x+5(0) Distribute. Alright this might look hard but realy it is 1x-1x so the answer is 0
4x=2x+2x 5 times 0 is 0
4x=4x Combine like terms
x=x divide by the coefficiant

Alright! Hope this helps! ;)