Answer:
x = 3/10
Step-by-step explanation:
2 1/3 = 2 + 1/3 = 6/3 + 1/3 = 7/3
1 1/2 = 1 + 1/2 = 2/2 + 172 = 3/2
2(1 1/2 - x) = 7/3 + 1/15
2(3/2 - x) = 35/15 + 1/15
2*3/2 + 2*-x = 36/15
3 - 2x = 36/15
-2x = 36/15 - 3
-2x = 36/15 - 45/15
-2x = -9/15
x = (-9/15)/-2
x = -9 / (15*-2)
x = 9/30
x = 3/10
verify:
2(3/2 - 3/10) = 36/15
2*3/2 + 2*-3/10 = 36/15
3 - 6/10 = 36/15
30/10 - 6/10 = 36/15
24/10 = 36/15 = 72/30
