5(2c+7)=80

Dis.Property

Use Dis. Property
Combine like terms
Solve using inverse operations

10 c + 35 = 80

10 c = 45

c = 4.5

To solve the equation 5(2c+7)=80 using the distributive property, you need to distribute the 5 to both terms inside the parentheses. This means multiplying 5 by 2c and 5 by 7.

5(2c+7) becomes 10c + 35 = 80 after applying the distributive property.

Next, you need to combine like terms by adding or subtracting the terms with the same variable. In this equation, we only have the term 10c, so no like terms need to be combined.

Now to isolate the variable c, we need to get rid of the term 35 by performing inverse operations. Since 35 is added to the equation, we need to subtract 35 from both sides to cancel it out.

10c + 35 - 35 = 80 - 35

This simplifies to 10c = 45.

Lastly, to solve for c, we divide both sides of the equation by 10.

10c/10 = 45/10

The final solution is c = 4.5.