What is the solution of the equation 5/3−2x=16 ?(1 point)

Responses

3
3

34
Start Fraction 3 over 4 End Fraction

−113
negative Start Fraction 11 over 3 End Fraction

−1112

1 answer

To solve the equation 5/3 - 2x = 16, we can begin by isolating the term with x on one side of the equation.

First, let's subtract 5/3 from both sides of the equation:
5/3 - 2x - 5/3 = 16 - 5/3

Simplifying the left side, we have:
-2x = 16 - 5/3

To combine the fractions on the right side, we need a common denominator. The common denominator in this case is 3. So, we can rewrite the equation as:
-2x = (48/3) - (5/3)

Simplifying the right side, we get:
-2x = 43/3

To solve for x, we can divide both sides of the equation by -2:
x = (43/3) / -2

Simplifying further, we have:
x = 43/3 * (-1/2)

Multiplying the numerators and denominators, we get:
x = -43/6

Therefore, the solution to the equation 5/3 - 2x = 16 is x = -43/6.