Question

PLEASE HELP A.S.A.P.! Solve the equation: |x-1|+|x-2|=3

Answer 1

X=3

Explanation-

(x-1)+(x-2)=3
x-1+(x-2)=3
x-1+x-2=3
Then collect the two like terms
x-1+x-2=3=
2x-1-2=3
Calculate the difference
x-1+x-2=3=
2x-3=3
———————
2x-3=3
Move the constant to the right-hand side and change its sign
2x=3+3
———————————————————-
2x=3+3
Add the numbers

2x=6
————————————————-
2x=6

Divide both sides of the equation by two

X=3

There you go. Have a great day! :)