Answer:
x = -3/2
Step-by-step explanation:
To solve for x, we simply need to isolate x in the equation using properties of equations. For this equation, we will use addition and multiplication properties.
(2/3) = (8/x) + 6
(2/3) + -6 = (8/x) + 6 + -6
(2/3) + -6 = (8/x)
(1/8) * [(2/3) + -6] = (8/x) * (1/8)
(1/8) * [(2/3) + -6] = (1/x)
(1/8) * [(2/3) + (-18/3)] = (1/x)
(1/8) * [-16/3] = (1/x)
(1 * -16) / (3 * 8) = (1/x)
(-2/3) = (1/x)
x * (-2/3) = (1/x) * x
(-2x/3) = 1
(-3/2) * (-2x/3) = 1 * (-3/2)
x = (-3/2)
x = -3/2
Cheers.
