Fred solved the equation 8(3x  7) = 6(x + 7) + 4 as shown.
Given 8(3x  7) = 6(x + 7) + 4 Step 1 24x  56 = 6x  42 + 4 Step 2 24x  56 = 6x + 46 Step 3 30x = 102 Step 4 x = 17/5 Fred made an error between step 1 and step 2. a.) Explain the error that Fred made. b.) What is the solution of the original equation?
8(3x  7) = 6(x + 7) + 4 Given
24x  56 = 6x  42 + 4 24x  56 = 6x  38 ← Fred took 42 + 4 to be 46 instead of the correct 38, shown here +6x +56 +6x +56 30x = 18 {added 6x and added 56 to each side} x = 18/30 {divided each side by 30} x = 3/5 {reduced} Ask Algebra House Comments are closed.

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