Question

What is the value of x in the equation 6x + 3 + 4x =

Answer 1

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