QuestionSolve the equation $-6 x - \frac{3}{7} = \frac{4}{7}$ . Find $x =$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $-6x - \frac{3}{7} = \frac{4}{7}$ . We are solving for $x$

STEP 2

We start by isolating the term with $x$ on one side of the equation. We can do this by adding $\frac{}{7}$ to both sides of the equation.
$-6x - \frac{}{7} + \frac{}{7} = \frac{4}{7} + \frac{}{7}$

STEP 3

implify both sides of the equation.
$-6x = \frac{}{7} + \frac{3}{7}$

STEP 4

Calculate the right side of the equation.
$-6x = \frac{7}{7}$

STEP 5

implify the right side of the equation.
$-x =1$

STEP 6

Now, we can solve for $x$ by dividing both sides of the equation by $-6$ .
$x = \frac{1}{-6}$

STEP 7

implify the right side of the equation.
$x = -\frac{1}{6}$ So, the solution to the equation $-6x - \frac{3}{7} = \frac{4}{7}$ is $x = -\frac{1}{6}$ .

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QuestionSolve the equation $-6 x - \frac{3}{7} = \frac{4}{7}$ . Find $x =$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $-6x - \frac{3}{7} = \frac{4}{7}$ . We are solving for $x$

STEP 2

We start by isolating the term with $x$ on one side of the equation. We can do this by adding $\frac{}{7}$ to both sides of the equation.
$-6x - \frac{}{7} + \frac{}{7} = \frac{4}{7} + \frac{}{7}$

STEP 3

implify both sides of the equation.
$-6x = \frac{}{7} + \frac{3}{7}$

STEP 4

Calculate the right side of the equation.
$-6x = \frac{7}{7}$

STEP 5

implify the right side of the equation.
$-x =1$

STEP 6

Now, we can solve for $x$ by dividing both sides of the equation by $-6$ .
$x = \frac{1}{-6}$

STEP 7

implify the right side of the equation.
$x = -\frac{1}{6}$ So, the solution to the equation $-6x - \frac{3}{7} = \frac{4}{7}$ is $x = -\frac{1}{6}$ .

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QuestionSolve the equation −6x−37=47-6 x - \frac{3}{7} = \frac{4}{7}−6x−73​=74​. Find x=x =x=.

Studdy Solution

STEP 1

Assumptions1. The given equation is −6x−37=47-6x - \frac{3}{7} = \frac{4}{7}−6x−73​=74​ . We are solving for xxx

STEP 2

We start by isolating the term with xxx on one side of the equation. We can do this by adding 7\frac{}{7}7​ to both sides of the equation.−6x−7+7=47+7-6x - \frac{}{7} + \frac{}{7} = \frac{4}{7} + \frac{}{7}−6x−7​+7​=74​+7​

STEP 3

implify both sides of the equation.−6x=7+37-6x = \frac{}{7} + \frac{3}{7}−6x=7​+73​

STEP 4

Calculate the right side of the equation.−6x=77-6x = \frac{7}{7}−6x=77​

STEP 5

implify the right side of the equation.−x=1-x =1−x=1

STEP 6

Now, we can solve for xxx by dividing both sides of the equation by −6-6−6.x=1−6x = \frac{1}{-6}x=−61​

STEP 7

implify the right side of the equation.x=−16x = -\frac{1}{6}x=−61​So, the solution to the equation −6x−37=47-6x - \frac{3}{7} = \frac{4}{7}−6x−73​=74​ is x=−16x = -\frac{1}{6}x=−61​.

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QuestionSolve the equation $-6 x - \frac{3}{7} = \frac{4}{7}$ . Find $x =$ .

Assumptions1. The given equation is $-6x - \frac{3}{7} = \frac{4}{7}$ . We are solving for $x$

We start by isolating the term with $x$ on one side of the equation. We can do this by adding $\frac{}{7}$ to both sides of the equation.
$-6x - \frac{}{7} + \frac{}{7} = \frac{4}{7} + \frac{}{7}$

implify both sides of the equation.
$-6x = \frac{}{7} + \frac{3}{7}$

Calculate the right side of the equation.
$-6x = \frac{7}{7}$

implify the right side of the equation.
$-x =1$

Now, we can solve for $x$ by dividing both sides of the equation by $-6$ .
$x = \frac{1}{-6}$

implify the right side of the equation.
$x = -\frac{1}{6}$ So, the solution to the equation $-6x - \frac{3}{7} = \frac{4}{7}$ is $x = -\frac{1}{6}$ .