Question Solve the linear equation $-\frac{x}{3}-2=0$ for the value of $x$ .

Studdy Solution

STEP 1

Assumptions
1. We have the equation $-\frac{x}{3}-2=0$ .
2. We need to solve for $x$ .

STEP 2

First, we want to isolate the term containing $x$ on one side of the equation. To do this, we will add 2 to both sides of the equation to eliminate the constant term on the left side.
$-\frac{x}{3}-2+2=0+2$

STEP 3

Simplify both sides of the equation.
$-\frac{x}{3}=2$

STEP 4

Now, we want to solve for $x$ . To do this, we will multiply both sides of the equation by $-3$ to eliminate the fraction and the negative sign.
$-3 \cdot \left(-\frac{x}{3}\right) = 2 \cdot (-3)$

STEP 5

Simplify both sides of the equation. The $-3$ on the left side cancels out the division by 3 and the negative sign.
$x = -6$
The solution to the equation $-\frac{x}{3}-2=0$ is $x = -6$ .

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Question Solve the linear equation $-\frac{x}{3}-2=0$ for the value of $x$ .

Studdy Solution

STEP 1

Assumptions
1. We have the equation $-\frac{x}{3}-2=0$ .
2. We need to solve for $x$ .

STEP 2

First, we want to isolate the term containing $x$ on one side of the equation. To do this, we will add 2 to both sides of the equation to eliminate the constant term on the left side.
$-\frac{x}{3}-2+2=0+2$

STEP 3

Simplify both sides of the equation.
$-\frac{x}{3}=2$

STEP 4

Now, we want to solve for $x$ . To do this, we will multiply both sides of the equation by $-3$ to eliminate the fraction and the negative sign.
$-3 \cdot \left(-\frac{x}{3}\right) = 2 \cdot (-3)$

STEP 5

Simplify both sides of the equation. The $-3$ on the left side cancels out the division by 3 and the negative sign.
$x = -6$
The solution to the equation $-\frac{x}{3}-2=0$ is $x = -6$ .

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Question Solve the linear equation −x3−2=0-\frac{x}{3}-2=0−3x​−2=0 for the value of xxx.

Studdy Solution

STEP 1

Assumptions1. We have the equation −x3−2=0-\frac{x}{3}-2=0−3x​−2=0.2. We need to solve for xxx.

STEP 2

First, we want to isolate the term containing xxx on one side of the equation. To do this, we will add 2 to both sides of the equation to eliminate the constant term on the left side.−x3−2+2=0+2-\frac{x}{3}-2+2=0+2−3x​−2+2=0+2

STEP 3

Simplify both sides of the equation.−x3=2-\frac{x}{3}=2−3x​=2

STEP 4

Now, we want to solve for xxx. To do this, we will multiply both sides of the equation by −3-3−3 to eliminate the fraction and the negative sign.−3⋅(−x3)=2⋅(−3)-3 \cdot \left(-\frac{x}{3}\right) = 2 \cdot (-3)−3⋅(−3x​)=2⋅(−3)

STEP 5

Simplify both sides of the equation. The −3-3−3 on the left side cancels out the division by 3 and the negative sign.x=−6x = -6x=−6The solution to the equation −x3−2=0-\frac{x}{3}-2=0−3x​−2=0 is x=−6x = -6x=−6.

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Studdy solves anything!

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Question Solve the linear equation $-\frac{x}{3}-2=0$ for the value of $x$ .

Assumptions
1. We have the equation $-\frac{x}{3}-2=0$ .
2. We need to solve for $x$ .

First, we want to isolate the term containing $x$ on one side of the equation. To do this, we will add 2 to both sides of the equation to eliminate the constant term on the left side.
$-\frac{x}{3}-2+2=0+2$

Simplify both sides of the equation.
$-\frac{x}{3}=2$

Now, we want to solve for $x$ . To do this, we will multiply both sides of the equation by $-3$ to eliminate the fraction and the negative sign.
$-3 \cdot \left(-\frac{x}{3}\right) = 2 \cdot (-3)$

Simplify both sides of the equation. The $-3$ on the left side cancels out the division by 3 and the negative sign.
$x = -6$
The solution to the equation $-\frac{x}{3}-2=0$ is $x = -6$ .