Solve for X in the Equation 6x = -12.6: Linear Equation Practice

6x=12.6 6x=-12.6

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Step-by-step video solution

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00:00 Solve
00:03 We want to isolate the unknown X
00:07 We divide by the coefficient of the unknown to isolate X
00:11 We divide the fraction into a whole number and remainder
00:19 We convert from improper fraction to whole number
00:22 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

6x=12.6 6x=-12.6

2

Step-by-step solution

To solve the equation 6x=12.66x = -12.6, we need to isolate xx. We achieve this by performing the following steps:

  • Step 1: Identify the coefficient of xx, which is 66. We aim to isolate xx by dividing both sides of the equation by 66.
  • Step 2: Divide both sides of the equation by 66 to solve for xx. This will eliminate the coefficient and reveal the value of xx.

Let's perform these calculations:

6x6=12.66\frac{6x}{6} = \frac{-12.6}{6}

Simplifying both sides gives:

x=2.1x = -2.1

Therefore, the solution to the equation is x=2.1\boldsymbol{x = -2.1}.

3

Final Answer

x=2.1 x=-2.1

Practice Quiz

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Solve for X:

\( 5x=25 \)

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