Final answer:
To solve the equation 8x + 2 = 3x + 22, subtract 3x from both sides, simplify, and divide both sides by 5. The value of x that makes the equation true is x = 4.
Step-by-step explanation:
To find the value of x that makes the equation 8x + 2 = 3x + 22 true, we need to solve for x.
First, let's simplify the equation by subtracting 3x from both sides:
8x + 2 - 3x = 3x + 22 - 3x
5x + 2 = 22
Next, subtract 2 from both sides:
5x + 2 - 2 = 22 - 2
5x = 20
Finally, divide both sides by 5 to solve for x:
5x/5 = 20/5
x = 4