9514 1404 393
Answer:
x = -6
Step-by-step explanation:
To find the desired value of x, set the expressions equal.
2/3x +2 = 4/3x +6
Subtract 2/3x +6 from both sides.
-4 = 2/3x
Multiply by the inverse of the coefficient of x.
(3/2)(-4) = x = -6
The value of x that makes the expressions have the same value is -6.
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Check
2/3x +2 = 2/3(-6) +2 = -4 +2 = -2
4/3x +6 = (4/3)(-6) +6 = -8 +6 = -2 . . . . same value
