½(4x - 8) = 6x + 10 solve for x and show work.

x = -7/2

Step-by-step explanation:

½(4x - 8) = 6x + 10

simplify

2x - 4 = 6x + 10

subtract 6x from both sides

-4x - 4 = 10

add 4 to both sides

-4x = 14

divide both sides with -4

x = -14/4

simplify

x = -7/2

power property.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x