To solve the equation 4.72(x-6.56)=10.4 the first step is to reverse the multiplication by dividing by 4.72. After dividing by 4.72 what number should be added to both sides

To solve the equation 4.72(x-6.56)=10.4, the first step is indeed to reverse the multiplication by dividing both sides by 4.72. When we divide both sides by 4.72, we isolate the expression (x - 6.56) on one side of the equation.

Therefore, we have:

4.72(x - 6.56) ÷ 4.72 = 10.4 ÷ 4.72

This simplifies to:

x - 6.56 = 2.2033898305084747

To isolate x on one side, we add 6.56 to both sides of the equation. Thus, the number that should be added to both sides is 6.56.

x - 6.56 + 6.56 = 2.2033898305084747 + 6.56

This simplifies to:

x = 8.763389830508475