What is x if 4x = 2x?

Hi Izzy! 0 is the correct answer here. Since you cannot divide both sides by x in this case, I would advise using this method: 4x = 2x 4x - 2x = 0 x(4 - 2) = 0 To make this statement true: either 4 - 2 = 0 (which is incorrect) or x = 0, as you stated Let me know if this makes sense or if you'd like me to explain a different way :)

Hello Izzy, Let's break it down: Given the equation: 4x = 2x To solve for 𝑥 x, subtract 2 𝑥 2x from both sides: 4x - 2x = 0 Simplify: 2x = 0 Now divide both sides by 2: x = 0 Why is 𝑥 = 0 x=0? When you simplify the equation, 2 𝑥 = 0 2x=0 clearly shows that 𝑥 x must equal 0 0 for the equation to hold true. Here's why: When 𝑥 = 0 x=0, substituting back into the original equation gives: 4 ( 0 ) = 2 ( 0 ) 4(0)=2(0), which is true because both sides equal 0. This result makes sense because if 𝑥 = 0 x=0, multiplying it by any number results in 0, ensuring both sides of the equation remain equal. So, yes, 𝑥 = 0 x=0 is correct!