QuestionSolve the equation: $-4x - 10 = 2x + 14$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $-4x -10 =x +14$ . . We are solving for the variable $x$ .

STEP 2

First, we want to isolate the variable $x$ on one side of the equation. We can start by moving the $2x$ term from the right side of the equation to the left side. We do this by subtracting $2x$ from both sides of the equation.
$-4x -2x =2x -2x +14 -10$

STEP 3

implify both sides of the equation.
$-6x =14 -10$

STEP 4

Calculate the right side of the equation.
$-6x =4$

STEP 5

Now, to isolate $x$ , we divide both sides of the equation by $-$ .
$x = \frac{4}{-}$

STEP 6

implify the right side of the equation to find the value of $x$ .
$x = -\frac{2}{3}$ So, the solution to the equation $-4x -10 =2x +14$ is $x = -\frac{2}{3}$ .

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QuestionSolve the equation: $-4x - 10 = 2x + 14$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $-4x -10 =x +14$ . . We are solving for the variable $x$ .

STEP 2

First, we want to isolate the variable $x$ on one side of the equation. We can start by moving the $2x$ term from the right side of the equation to the left side. We do this by subtracting $2x$ from both sides of the equation.
$-4x -2x =2x -2x +14 -10$

STEP 3

implify both sides of the equation.
$-6x =14 -10$

STEP 4

Calculate the right side of the equation.
$-6x =4$

STEP 5

Now, to isolate $x$ , we divide both sides of the equation by $-$ .
$x = \frac{4}{-}$

STEP 6

implify the right side of the equation to find the value of $x$ .
$x = -\frac{2}{3}$ So, the solution to the equation $-4x -10 =2x +14$ is $x = -\frac{2}{3}$ .

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QuestionSolve the equation: −4x−10=2x+14-4x - 10 = 2x + 14−4x−10=2x+14.

Studdy Solution

STEP 1

Assumptions1. The equation given is −4x−10=x+14-4x -10 =x +14−4x−10=x+14. . We are solving for the variable xxx.

STEP 2

STEP 3

implify both sides of the equation.−6x=14−10-6x =14 -10−6x=14−10

STEP 4

Calculate the right side of the equation.−6x=4-6x =4−6x=4

STEP 5

Now, to isolate xxx, we divide both sides of the equation by −-−.x=4−x = \frac{4}{-}x=−4​

STEP 6

implify the right side of the equation to find the value of xxx.x=−23x = -\frac{2}{3}x=−32​So, the solution to the equation −4x−10=2x+14-4x -10 =2x +14−4x−10=2x+14 is x=−23x = -\frac{2}{3}x=−32​.

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QuestionSolve the equation: $-4x - 10 = 2x + 14$ .

Assumptions1. The equation given is $-4x -10 =x +14$ . . We are solving for the variable $x$ .

implify both sides of the equation.
$-6x =14 -10$

Calculate the right side of the equation.
$-6x =4$

Now, to isolate $x$ , we divide both sides of the equation by $-$ .
$x = \frac{4}{-}$

implify the right side of the equation to find the value of $x$ .
$x = -\frac{2}{3}$ So, the solution to the equation $-4x -10 =2x +14$ is $x = -\frac{2}{3}$ .