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Examine the first two steps for solving this equation. 3x - 6(5x + 3) = 9x + 6 1. Distribute: 3x - 30x - 18 = 9x + 6 2. Combine like terms: -27x - 18 = 9x + 6 What could be the coefficient of x once the variable term is isolated on one side of the equation? Check all that apply. –36 –27 –24 24 27 36

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The Coefficient of variable term x after making it isolated would be -36

Step-by-step explanation:

We have to solve the equation in order to get the coefficient of x at the end after isolation.

Given

[tex]3x - 6(5x + 3) = 9x + 6[/tex]

Distribute

[tex]3x - 30x - 18 = 9x + 6[/tex]

Combine like terms:

[tex]-27x - 18 = 9x + 6[/tex]

subtracting 9x from both sides

[tex]-27x - 18-9x = 9x + 6-9x\\-36x-18=6[/tex]

We can clearly see that the coefficient of x at the end after it has been isolated is -36

Hence,

The Coefficient of variable term x after making it isolated would be -36

Keywords: Linear Equation, Variable

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Answer:

-36 and 36

Step-by-step explanation:

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