Which value of * is the solution of 2x-3 =
x- 4 2/3
To solve for * in the equation 2x-3 = x- 4 2/3, we can first simplify the right-hand side by converting the mixed number 4 2/3 into an improper fraction:
2x - 3 = x - 14/3
Next, we can isolate the variable term (x) on one side of the equation by subtracting x from both sides:
x - 3 = -14/3
Finally, we can solve for x by adding 3 to both sides and then multiplying by the reciprocal of the coefficient of x:
x = [-14/3 + 3] / 1
x = [-14/3 + 9/3]
x = -5/3
Therefore, the value of * that satisfies the equation 2x-3 = x- 4 2/3 is * = -5/3.