Question

I need to solve this linear equation and determine whether it has a single answer, no solution, or infinite answers. But I’m always ending up with just 7, please help!

3+3/2x+4=4x-5/2x

Answer 1

x = 2

Explanation:

First, let's combine like terms on both sides of the equation. This means adding or subtracting terms with x on one side to have them on the same side. We'll also move the constant terms (3 and 4) to the other side of the equation.

3 + (3/2)x + 4 = 4x - (5/2)x

Move the constants to the right side:

(3/2)x - (5/2)x = 4 - 3 - 4

Now, you can combine the x terms on the left side by finding a common denominator:

[(3/2)x - (5/2)x] = 1

(1/2)x = 1

To solve for x, multiply both sides of the equation by 2 to get rid of the fraction:

(1/2)x * 2 = 1 * 2

x = 2

So, the solution to the equation is x = 2.