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Determine the additional cost per month of the package deal using the equation

[tex]\[3.2x - 2(x - 1.6) = 28.46\][/tex]

where [tex]\(x\)[/tex] is the additional cost per month. What is the additional cost per month of the package deal?

Sagot :

GinnyAnswer
To determine the additional cost per month of the package deal, we need to solve the equation:

[tex]\[ 3.2x - 2(x - 1.6) = 28.46 \][/tex]

Let's follow the steps to solve for [tex]\( x \)[/tex].

1. Distribute the 2 in the second term:

[tex]\[ 3.2x - 2x + 3.2 = 28.46 \][/tex]

2. Combine like terms:

Combine [tex]\( 3.2x \)[/tex] and [tex]\( -2x \)[/tex]:

[tex]\[ (3.2 - 2)x + 3.2 = 28.46 \][/tex]

Simplifies to:

[tex]\[ 1.2x + 3.2 = 28.46 \][/tex]

3. Isolate [tex]\( x \)[/tex] by subtracting 3.2 from both sides of the equation:

[tex]\[ 1.2x = 28.46 - 3.2 \][/tex]

[tex]\[ 1.2x = 25.26 \][/tex]

4. Solve for [tex]\( x \)[/tex] by dividing both sides of the equation by 1.2:

[tex]\[ x = \frac{25.26}{1.2} \][/tex]

5. Calculate the result:

[tex]\[ x = 21.05 \][/tex]

So, the additional cost per month of the package deal is:

[tex]\[ x = 21.05 \][/tex]
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