To solve the equation (2/3)x = 24 for x, we can use the principle of multiplication to isolate x.
First, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2. By doing this, we ensure that the coefficient of x becomes 1, simplifying the equation.
So, we have:
(2/3)x * (3/2) = 24 * (3/2)
Simplifying the left side, we get:
(2/3) * (3/2) * x = 24 * (3/2)
The (2/3) and (3/2) cancel out, leaving us with:
1 * x = 36
And since multiplying any number by 1 gives us the same number, we have:
x = 36
Therefore, the value of x that satisfies the equation is 36.
