The equation 4x = 16 is satisfied by the following value of x
4
2
12
–12
Step 1: Understand the equation
We have (4x = 16). This means 4 times some number (x) equals 16.
Step 2: Make (x) alone (isolate (x))
To undo “times 4”, divide both sides by 4.
( rac{4x}{4} = rac{16}{4})
(x = 4)
Step 3: Check the answer
Put (x = 4) back into the left side: (4 imes 4 = 16). This is true, so (x = 4) is correct.
Why the other options are wrong?
If (x = 2): (4 imes 2 = 8) (not 16)
If (x = 12): (4 imes 12 = 48) (not 16)
If (x = -12): (4 imes (-12) = -48) (not 16)