Final answer:
The distributive property is used to simplify equations by distributing a number or variable to each term inside parentheses. It allows us to eliminate parentheses and combine like terms.
Step-by-step explanation:
The distributive property is used to simplify equations by distributing a number or variable to each term inside parentheses. This allows us to eliminate the parentheses and combine like terms.
For the equation 4x=20, we divide both sides by 4 to solve for x.
In the equation x-11=9, we add 11 to both sides to isolate x.
For 5x + 6x=22, we combine the like terms by adding 5x and 6x to get 11x, then divide both sides by 11 to solve for x.
Lastly, in the equation 5(x-2)=30, we use the distributive property to distribute the 5 to both terms inside the parentheses, which gives us 5x - 10 = 30. We then add 10 to both sides to isolate x.
Learn more about Distributive property of equations