Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
Cumulative Practice

Exercise 3 Page 135

Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.

I

To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality. In this case, we need to start by using the Distributive Property to simplify the left-hand side of the equation.

5(x-4)=3x
5 * x - 5 * 4=3x
5x-20=3x

Now, we can continue to solve using the Properties of Equality. Remember, only like terms can be combined.

5x-20=3x
5x-20+20=3x+20
5x=3x+20
5x-3x=3x+20-3x
2x=20
2x/2=20/2
x=10

The solution to the equation is x=10. Therefore, the correct option is I.