Question

What is the reason for each strip on the solution of the equation?

Answer 1

Step 1: Given

Step 2:  Distributive Property

Step 3: Addition Property of  Equality

Step 4: Division Property of  Equality

Step-by-step explanation:

We need to match the reason with the correct step in the equation.

Equation:

Given:

$2x = -4(x-3)$

Applying Distributive property a(b+c)=ab+ac

$2x=-4x+12$

Now, Applying addition property of equality:

Adding +4x on both sides

$2x+4x=-4x+12+4x\\6x=12$

Now, Applying Division property of Equality:

Divide both sides by 6:

$\frac{6x}{6}=\frac{12}{6}\\x=2$

So, Answer will be:

Step 1: Given

Step 2:  Distributive Property

Step 3: Addition Property of  Equality

Step 4: Division Property of  Equality

Keywords: Solving Equations

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