Answer:
Step-by-step explanation:
To solve the two-step equation (1/5)x - 2/3 = 4/3, we can follow these steps:
Step 1: Eliminate the fraction by multiplying every term in the equation by the common denominator of the fractions involved. In this case, the common denominator is 15.
15 * [(1/5)x] - 15 * (2/3) = 15 * (4/3)
3x - 10 = 20
Step 2: Isolate the variable term by moving the constant term to the other side of the equation.
3x - 10 + 10 = 20 + 10
3x = 30
Step 3: Solve for x by dividing both sides of the equation by the coefficient of x, which is 3.
(3x)/3 = 30/3
x = 10
Therefore, the solution to the equation (1/5)x - 2/3 = 4/3 is x = 10.