5x-3/2=3x+8

Answer 1

To solve the equation 5x - (3/2) = 3x + 8, we need to isolate the x term on one side of the equation.

First, let's get rid of the fraction by multiplying every term by the denominator, which is 2.

2 * (5x) - 2 * (3/2) = 2 * (3x) + 2 * 8

10x - 3 = 6x + 16

Now, let's move all the x terms to one side of the equation by subtracting 6x from both sides:

10x - 6x - 3 = 6x - 6x + 16

4x - 3 = 16

Next, let's isolate the constant term by adding 3 to both sides:

4x - 3 + 3 = 16 + 3

4x = 19

Finally, divide both sides by 4 to solve for x:

4x/4 = 19/4

x = 19/4

Therefore, the solution to the equation is x = 19/4.