Answer:
1. x=1
2. no solution
3. infinite solutions
Step-by-step explanation:
1. 2(x+3)=2x+5+x
2x+6=3x+5
6=x+5
1=x
2. 2(2x-3)=6x+2-2x-9
4x-6=6x+2-2x-9
4x-6=4x-7
-6=-7
-6 does not equal -7 so there is no solution
3. 4(2x+6)+2=2x+16+6x+10
8x+24+2=2x+16+6x+10
8x+26=8x+26
26=26
26 is equal to 26 so x could be equal to anything since it ends up cancelling itself out
steps I used to solve:
1. solve distributive property
2. combine like terms
3. add/subract from both sides to try and get x by itself
4. if x is by itself you have your answer, and if there isnt an x in the final answer there is no solution or infinite solutions.