Solved on Sep 17, 2023

Solve the linear equation $-6-\frac{4}{5}x=0$ for the unknown variable $x$ .

STEP 1

Assumptions1. The equation is $-6-\frac{4}{5} x=0$ . We are solving for $x$

STEP 2

First, we need to isolate the term with $x$ on one side of the equation. We can do this by adding $6$ to both sides of the equation.
$-6-\frac{4}{5} x +6 =0 +6$

STEP 3

implify both sides of the equation.
$-\frac{}{5} x =6$

STEP 4

Now, we need to solve for $x$ . We can do this by multiplying both sides of the equation by the reciprocal of $-\frac{4}{}$ , which is $-\frac{}{4}$ .
$-\frac{}{4} \times -\frac{4}{} x = -\frac{}{4} \times6$

STEP 5

implify the left side of the equation.
$x = -\frac{5}{4} \times$

STEP 6

Calculate the value of $x$ .
$x = -\frac{5}{4} \times6 = -.5$ So, the solution to the equation $-6-\frac{4}{5} x=0$ is $x = -.5$ .

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Solve the linear equation $-6-\frac{4}{5}x=0$ for the unknown variable $x$ .

STEP 1

Assumptions1. The equation is $-6-\frac{4}{5} x=0$ . We are solving for $x$

STEP 2

First, we need to isolate the term with $x$ on one side of the equation. We can do this by adding $6$ to both sides of the equation.
$-6-\frac{4}{5} x +6 =0 +6$

STEP 3

implify both sides of the equation.
$-\frac{}{5} x =6$

STEP 4

Now, we need to solve for $x$ . We can do this by multiplying both sides of the equation by the reciprocal of $-\frac{4}{}$ , which is $-\frac{}{4}$ .
$-\frac{}{4} \times -\frac{4}{} x = -\frac{}{4} \times6$

STEP 5

implify the left side of the equation.
$x = -\frac{5}{4} \times$

STEP 6

Calculate the value of $x$ .
$x = -\frac{5}{4} \times6 = -.5$ So, the solution to the equation $-6-\frac{4}{5} x=0$ is $x = -.5$ .

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Solve the linear equation −6−45x=0-6-\frac{4}{5}x=0−6−54​x=0 for the unknown variable xxx.

STEP 1

Assumptions1. The equation is −6−45x=0-6-\frac{4}{5} x=0−6−54​x=0 . We are solving for xxx

STEP 2

First, we need to isolate the term with xxx on one side of the equation. We can do this by adding 666 to both sides of the equation.−6−45x+6=0+6-6-\frac{4}{5} x +6 =0 +6−6−54​x+6=0+6

STEP 3

implify both sides of the equation.−5x=6-\frac{}{5} x =6−5​x=6

STEP 4

Now, we need to solve for xxx. We can do this by multiplying both sides of the equation by the reciprocal of −4-\frac{4}{}−4​, which is −4-\frac{}{4}−4​.−4×−4x=−4×6-\frac{}{4} \times -\frac{4}{} x = -\frac{}{4} \times6−4​×−4​x=−4​×6

STEP 5

implify the left side of the equation.x=−54×x = -\frac{5}{4} \timesx=−45​×

STEP 6

Calculate the value of xxx.x=−54×6=−.5x = -\frac{5}{4} \times6 = -.5x=−45​×6=−.5So, the solution to the equation −6−45x=0-6-\frac{4}{5} x=0−6−54​x=0 is x=−.5x = -.5x=−.5.

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Solve the linear equation $-6-\frac{4}{5}x=0$ for the unknown variable $x$ .

Assumptions1. The equation is $-6-\frac{4}{5} x=0$ . We are solving for $x$

First, we need to isolate the term with $x$ on one side of the equation. We can do this by adding $6$ to both sides of the equation.
$-6-\frac{4}{5} x +6 =0 +6$

implify both sides of the equation.
$-\frac{}{5} x =6$

Now, we need to solve for $x$ . We can do this by multiplying both sides of the equation by the reciprocal of $-\frac{4}{}$ , which is $-\frac{}{4}$ .
$-\frac{}{4} \times -\frac{4}{} x = -\frac{}{4} \times6$

implify the left side of the equation.
$x = -\frac{5}{4} \times$

Calculate the value of $x$ .
$x = -\frac{5}{4} \times6 = -.5$ So, the solution to the equation $-6-\frac{4}{5} x=0$ is $x = -.5$ .