Question

Solve for x: 2/3=8/x+6

Answer 1

Answer:

x = 6

Step-by-step explanation:

2/3=8/x+6

Using cross products

2 * (x+6) = 3*8

2(x+6) = 24

Divide by 2

x+6 =12

Subtract 6

x = 6

Answer 2

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.