Question

choose the correct reason to justify each step in solving the equation -2.5 (-2 - 3x) +2.5(-4x - 1) = -2x - 4x





The Answers you can choose for each thing is: Given, Addition property of equality, Multiplication property of equality , Division property of equality, Write an equivalent equation, and Distributive property

Answer 1

The steps followed to solve the given equation are:

Given, Addition property of equality, Distributive property, Multiplication property of equality, Division property of equality.

The value of x is-2.14

We have equation

-2.5 (-2 - 3x) +2.5(-4x - 1) = -2x - 4x

First we use Addition property

-2.5 (-2 - 3x) +2.5(-4x - 1) = -6x

Second use Distributive property

-2.5 ×-2 -2.5 ×- 3x +2.5×-4x -2.5 ×- 1 =-6x

5+7.5x-10x+2.5 = -6x

Add the like terms

7.5-2.5x=-6x

7.5=-6x+2.5x

7.5=-3.5x

Divide by -3.5 both sides

2.14=-x

So, x=-2.14

Therefore the steps followed to solve the given equation are:

Given, Addition property of equality, Distributive property, Multiplication property of equality, Division property of equality.

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