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

Question

$6x=-12.6$

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

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

Step 1: Identify the coefficient of $x$ , which is $6$ . We aim to isolate $x$ by dividing both sides of the equation by $6$ .
Step 2: Divide both sides of the equation by $6$ to solve for $x$ . This will eliminate the coefficient and reveal the value of $x$ .

Let's perform these calculations:

$\frac{6x}{6} = \frac{-12.6}{6}$

Simplifying both sides gives:

$x = -2.1$

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

$x=-2.1$