Answer:
[tex]\large \boxed{\mathrm{(a) \ One \ solution}} \\ \\ \large \boxed{\mathrm{(b) \ One \ solution}} \\ \\ \large \boxed{\mathrm{(c) \ All \ real \ numbers}}[/tex]
Step-by-step explanation:
2x+4(x-1)=2+4x
Expand brackets.
2x+4x-4=2+4x
Combine like terms.
6x-4=2+4x
Subtract 4x from both sides.
Add 4 to both sides.
2x=6
Divide both sides by 2.
x=3 (One solution)
25-x=15-(3x+10)
Distribute negative sign.
25-x=15-3x-10
25-x=-3x+5
Add x and -5 to both sides.
20=-2x
Divide both sides by -2.
-10=x (One solution)
4x=2x+2x+5(x-x)
Solve for brackets.
4x=2x+2x+5(0)
4x=2x+2x
Combine like terms.
4x=4x
Divide both sides by 4.
x=x
All real numbers are solutions. (All real numbers)
