Solving Equations Using the Distributive Property | A Step-by-Step Guide with an Example

2 (x + 2) = 2

To solve the equation 2(x + 2) = 2, you will need to use the distributive property and simplify the expression

To solve the equation 2(x + 2) = 2, you will need to use the distributive property and simplify the expression.

1. Distributive property: Multiply the 2 outside of the parentheses by each term inside the parentheses.

2(x + 2) = 2

2 * x + 2 * 2 = 2

2x + 4 = 2

2. Now, we can solve for x. Start by isolating the variable by subtracting 4 from both sides of the equation.

2x + 4 – 4 = 2 – 4

2x = -2

3. To solve for x, divide both sides of the equation by 2.

2x/2 = -2/2

x = -1

Therefore, the solution to the equation 2(x + 2) = 2 is x = -1.

Definition of Terms:
– Equation: In mathematics, an equation is a statement that asserts the equality of two expressions by using an equal sign.
– Distributive property: The distributive property is a rule that allows you to multiply a number by a sum or difference of numbers by multiplying each term individually and then combine the results.
– Simplify: Simplifying involves performing operations (addition, subtraction, multiplication, division) to reduce an expression or equation into its simplest form.

More Answers:
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Simplifying the Expression (x+7)(x-4) Using the Distributive Property and Combining Like Terms
Simplify the expression (x-8)(x+3) using the distributive property

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