1/5[10-5 (x-2) ]=1/10 (x+1). Solve for x

Multiply both sides by 10 to clear the fractions.

2[10-5 (x-2) ]=x+1

distribute the 2 on the left hand side

20-10 (x-2) = x+1

distribute the 10

20-10x-20=x+1

cancel out the 20

-10x=x+1

collect like terms

-11x=1

divide both sides by - 11 to solve for x

x=-1/11