2(𝑥+3)−3(𝑥+2)=17𝑥+1

Answer 1

2x + 6 - 3x - 6 = 17x + 1

-x = 17x + 1

0 = 18x + 1

x = -1/18

check:

LHS:

2 ( -1/18 + 3) - 3 ( -1/18 + 2) =

2 ( -1/18 + 54/18) - 3( -1/18 + 36/18) =

2 ( 53/18) - 3 ( 35/18) =

106/18 - 105/18 = 1/18

RHS:

17(-1/18) + 1 = -17/18 + 1 = -17/18 + 18/18 = 1/18

yes it checks, as both sides are 1/18 when x=-1/18

x = -1/18