8(5x-2)=84

Please help. Thank you!

8(5x-2)=84

40x - 16 = 84
40x = 84 + 16
40x = 100
x = 100/40
x = ?

Distribute. 40x-16=84

Add 16 to both sides.
40x=100
Divide both sides by 40.
x=2.5

To solve the equation 8(5x-2)=84, you need to follow a series of steps known as the order of operations. This ensures you perform the operations in the correct order to find the value of x.

Step 1: Distribute
Multiply the number outside the parentheses (8) by each term inside the parentheses (5x and -2):
8 * 5x = 40x
8 * -2 = -16

So the equation becomes:
40x - 16 = 84

Step 2: Isolate the variable
To isolate the variable x, you need to move all the other terms to the opposite side of the equation. In this case, you want to move the -16 to the right side:
40x - 16 + 16 = 84 + 16
40x = 100

Step 3: Solve for x
Now, divide both sides of the equation by 40 to solve for x:
40x/40 = 100/40
x = 2.5

So the solution to the equation 8(5x-2)=84 is x = 2.5.