# Solving two-step linear equations using distributive property: a(x + b) = c

#### Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

#### Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

#### Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

##### Intros
###### Lessons
• What is Distributive Property?
• How to use distributive property to solve linear equations?
##### Examples
###### Lessons
1. Solve the equation using model.
1. $4\left( {x + 1} \right) = 12$
2. $2\left( {x - 3} \right) = 8$
2. Solve.
1. $3\left( {x - 9} \right) = 45$
2. $7\left( {10 + x} \right) = 14$
3. $- 15 = 3\left( {x - 6} \right)$
4. $- 22 = 11\left( {x + 13} \right)$
3. John has a round table with a circumference of 314.16 cm, but it is too big for his new home. So, he cut off a 10 cm wide border around the edge.
1. Write the equation that represents the situation.
2. What is the circumference of the table now? Round your answer to two decimal places.
##### Practice
###### Topic Notes
Distributive property is an algebra property that we use all the time! When you see equations in the form of a(x+b), you can transform them into ax+ab by multiplying the terms inside a set of parentheses. In this section, we will make use of this property to help us solve linear equations.