9514 1404 393
Answer:
x = 3/10
Step-by-step explanation:
Given
6x +3 +4x = 1/2(9 +10x)
We can collect term, then multiply by 2.
10x + 3 = (1/2)(9 +10x)
20x + 6 = 10x + 9 . . . . . . . multiply by 2
10x = 3 . . . . . . . . . . . . . . . . subtract (6+10x)
x = 3/10 . . . . . . . . . . . . . . . divide by 10
_____
Check
6(3/10) +3 +4(3/10) = (1/2)(9 + 10(3/10))
1.8 + 3 + 1.2 = 1/2(9 +3)
6 = 6 . . . . . solution checks OK
