Solve using the multiplication principle. Don't forget to check. \( 2 x=8 \)

We start with the equation:   2x = 8 Step 1: Use the multiplication (or inverse multiplication) principle. Since 2 is multiplied by x, we can undo that multiplication by multiplying both sides of the equation by the reciprocal of 2, which is 1/2. Multiplying both sides by 1/2 gives:   (1/2) · (2x) = (1/2) · 8 Step 2: Simplify the left-hand side:   (1/2) · 2x = (1) · x = x The right-hand side simplifies to:   8/2 = 4 So, we have:   x = 4 Step 3: Check the solution by substituting x = 4 back into the original equation:   2(4) = 8   8 = 8 Since both sides are equal, the solution x = 4 is correct.