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Consider the equation below.

-3(4x-7) = 15 -2x

The equation was solved using the following steps.

Step 1: -12x + 21 = 15 - 2x
step 2: -10x + 21 = 15
step 3: -10x = -6
step 4: x = -6/-10
step 5: x = 3/5

Complete the statements below with the process used to achieve steps 1-4.

Step 1: _______ -3 to 4x and -7
step 2:_______ 2x
step 3:_______ 21
step 4: _______ -10

options: divide, subtract, distribute, add, multiply by,

Respuesta :

1. open parentheses ,so 
distribute -3 to 4x and -7
2. add to both sides of the equation 2x
3. subtract from both sides of the equation 21
4. divide both sides of the equation by -10

Answer:

Step 1: Multiply by -3 to 4x and -7

Step 2: Add 2x

Step 3: Subtract 21

Step 4: Divide by -10                  

Step-by-step explanation:

Given the equation

[tex]-3(4x-7) = 15 -2x[/tex]

The solution is

Step 1: -12x + 21 = 15 - 2x

step 2: -10x + 21 = 15

step 3: -10x = -6

step 4: [tex]x = \frac{-6}{-10}[/tex]

step 5: [tex]x = \frac{3}{5}[/tex]

we have to complete the statements with the process used to achieve steps 1-4.

[tex]-3(4x-7) = 15 -2x[/tex]

First opening the brackets by applying distributive property i.e by multiplying

Step 1: Multiply by -3 to 4x and -7

We get -12x + 21 = 15 - 2x

Step 2: Add 2x

⇒  -10x + 21 = 15

Step 3: Subtract 21

-10x = -6

Step 4: Divide by -10

[tex]x = \frac{-6}{-10}[/tex]

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