2/3x - 5 = 27

Answer 1

To solve the equation, we need to isolate the variable on one side of the equation. Here's how we can do it:

2/3x - 5 = 27

First, let's add 5 to both sides of the equation:

2/3x - 5 + 5 = 27 + 5

This simplifies to:

2/3x = 32

Next, let's multiply both sides of the equation by the reciprocal of 2/3, which is 3/2 (meaning we multiply both sides by 3/2):

(2/3x) * (3/2) = 32 * (3/2)

The left side simplifies to:

(2/3)*(3/2)x = (6/6)x = x

And the right side simplifies to:

32 * (3/2) = 96/2 = 48

So the equation becomes:

x = 48

Therefore, the solution to the equation is x = 48.