The value of x in the equation 2/3(x - 5) - 1/4(x - 2)= -3/2 is x = 16/5
How to determine the value of x in the equation?
The equation is given as
2/3(x - 5) - 1/4(x - 2)= -3/2
Multiply through the equation by 12
So, we have
12 * 2/3(x - 5) - 12 * 1/4(x - 2)= -3/2 * 12
Evaluate the products
So, we have
8(x - 5) - 3(x - 2)= -18
Open the brackets
So, we have
8x - 40 - 3x + 6= -18
Evaluate the like terms
So, we have
5x = 16
Divide both sides of the equation by 15
So, we have
x = 16/5
Hence, the value of x in the equation 2/3(x - 5) - 1/4(x - 2)= -3/2 is x = 16/5
Read more about equations at
https://brainly.com/question/21405634
#SPJ1
