Solve each literal equation for the indicated variable

2x-3y=4 for x

The answer is suppose to be x=3/2y+2

I don't understand how you do this problem?

you have it exactly.

What do you mean?

x= 3/2 y + 2

To solve the given equation, 2x-3y=4, for x, we need to isolate the variable x on one side of the equation.

Here's how we can do it step-by-step:

Step 1: Start with the equation: 2x-3y=4.

Step 2: Add 3y to both sides of the equation to move the -3y term to the right side: 2x = 3y + 4.

Step 3: Divide both sides of the equation by 2 to isolate the x variable: (2x)/2 = (3y + 4)/2.

Simplifying this further, we get: x = (3y + 4)/2.

In the given form, x = (3/2)y + 2, the expression (3/2)y + 2 is the simplified form of (3y + 4)/2.