Solved on Nov 17, 2023

Find the value of $x$ when $6-4x = 2x+12$ . The value of $x$ is $x=3$ .

STEP 1

Assumptions1. The equation is $6-4x =6x-8x+12$ . We are solving for the variable $x$

STEP 2

First, simplify the right side of the equation by combining like terms.
$6-4x = -2x+12$

STEP 3

Next, we will isolate the $x$ terms on one side of the equation and the constants on the other side. Let's start by adding $2x$ to both sides of the equation.
$6-x+2x = -2x+12+2x$

STEP 4

implify both sides of the equation.
$6-2x =12$

STEP 5

Next, subtract $$ from both sides of the equation to isolate the $x$ term on one side.
$-2x- =12-$

STEP 6

implify both sides of the equation.
$-2x =6$

STEP 7

Finally, divide both sides of the equation by $-2$ to solve for $x$ .
$x = \frac{6}{-2}$

STEP 8

Calculate the value of $x$ .
$x = -3$ The value of $x$ is $-3$ .

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Find the value of $x$ when $6-4x = 2x+12$ . The value of $x$ is $x=3$ .

STEP 1

Assumptions1. The equation is $6-4x =6x-8x+12$ . We are solving for the variable $x$

STEP 2

First, simplify the right side of the equation by combining like terms.
$6-4x = -2x+12$

STEP 3

Next, we will isolate the $x$ terms on one side of the equation and the constants on the other side. Let's start by adding $2x$ to both sides of the equation.
$6-x+2x = -2x+12+2x$

STEP 4

implify both sides of the equation.
$6-2x =12$

STEP 5

Next, subtract $$ from both sides of the equation to isolate the $x$ term on one side.
$-2x- =12-$

STEP 6

implify both sides of the equation.
$-2x =6$

STEP 7

Finally, divide both sides of the equation by $-2$ to solve for $x$ .
$x = \frac{6}{-2}$

STEP 8

Calculate the value of $x$ .
$x = -3$ The value of $x$ is $-3$ .

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Find the value of xxx when 6−4x=2x+126-4x = 2x+126−4x=2x+12. The value of xxx is x=3x=3x=3.

STEP 1

Assumptions1. The equation is 6−4x=6x−8x+126-4x =6x-8x+126−4x=6x−8x+12 . We are solving for the variable xxx

STEP 2

First, simplify the right side of the equation by combining like terms.6−4x=−2x+126-4x = -2x+126−4x=−2x+12

STEP 3

Next, we will isolate the xxx terms on one side of the equation and the constants on the other side. Let's start by adding 2x2x2x to both sides of the equation.6−x+2x=−2x+12+2x6-x+2x = -2x+12+2x6−x+2x=−2x+12+2x

STEP 4

implify both sides of the equation.6−2x=126-2x =126−2x=12

STEP 5

Next, subtract $$ from both sides of the equation to isolate the $x$ term on one side.−2x−=12−-2x- =12-−2x−=12−

STEP 6

implify both sides of the equation.−2x=6-2x =6−2x=6

STEP 7

Finally, divide both sides of the equation by −2-2−2 to solve for xxx.x=6−2x = \frac{6}{-2}x=−26​

STEP 8

Calculate the value of xxx.x=−3x = -3x=−3The value of xxx is −3-3−3.

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Find the value of $x$ when $6-4x = 2x+12$ . The value of $x$ is $x=3$ .

Assumptions1. The equation is $6-4x =6x-8x+12$ . We are solving for the variable $x$

First, simplify the right side of the equation by combining like terms.
$6-4x = -2x+12$

Next, we will isolate the $x$ terms on one side of the equation and the constants on the other side. Let's start by adding $2x$ to both sides of the equation.
$6-x+2x = -2x+12+2x$

implify both sides of the equation.
$6-2x =12$

Next, subtract $$ from both sides of the equation to isolate the $x$ term on one side.
$-2x- =12-$

implify both sides of the equation.
$-2x =6$

Finally, divide both sides of the equation by $-2$ to solve for $x$ .
$x = \frac{6}{-2}$

Calculate the value of $x$ .
$x = -3$ The value of $x$ is $-3$ .