What value for x makes the following statement true?

2

Step-by-step explanation:

we can isolate the variable by subtracting 3x from both sides

3x + 12 = 5x + 8

-3x          -3x      

        12 = 2x + 8

and then subtracting 8 from both sides

12 = 2x + 8

-8           -8

4 = 2x

then we divide by 2 on both sides

 4 = 2x

÷2   ÷2

2 = x

flip the equation to get:

x=2

checking the solution by plugging in 2 in place of x:

(3 * 2) + 12 = (5 * 2) + 8

6 + 12 = 10 + 8

18 = 18

since the equation is true,

the solution x = 2 is correct.

77

step-by-step explanation:

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.