Solved on Nov 10, 2023

Find the value of $x$ that satisfies the equation $2x+12=6x-14$ .

STEP 1

Assumptions1. The equation is $x +12 =6x -14$ . We are looking for the value of $x$ that makes this equation true

STEP 2

First, we need to isolate $x$ terms on one side of the equation. We can do this by subtracting $2x$ from both sides of the equation.
$2x +12 -2x =6x -14 -2x$

STEP 3

implify the equation.
$12 =x -14$

STEP 4

Next, we need to isolate $x$ by adding $14$ to both sides of the equation.
$12 +14 =4x -14 +14$

STEP 5

implify the equation.
$26 =4x$

STEP 6

Finally, we need to solve for $x$ by dividing both sides of the equation by $4$ .
$x = \frac{26}{4}$

STEP 7

implify the equation to find the value of $x$ .
$x =6.5$ The value of $x$ that makes the equation true is $6.5$ .

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Find the value of $x$ that satisfies the equation $2x+12=6x-14$ .

STEP 1

Assumptions1. The equation is $x +12 =6x -14$ . We are looking for the value of $x$ that makes this equation true

STEP 2

First, we need to isolate $x$ terms on one side of the equation. We can do this by subtracting $2x$ from both sides of the equation.
$2x +12 -2x =6x -14 -2x$

STEP 3

implify the equation.
$12 =x -14$

STEP 4

Next, we need to isolate $x$ by adding $14$ to both sides of the equation.
$12 +14 =4x -14 +14$

STEP 5

implify the equation.
$26 =4x$

STEP 6

Finally, we need to solve for $x$ by dividing both sides of the equation by $4$ .
$x = \frac{26}{4}$

STEP 7

implify the equation to find the value of $x$ .
$x =6.5$ The value of $x$ that makes the equation true is $6.5$ .

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Find the value of xxx that satisfies the equation 2x+12=6x−142x+12=6x-142x+12=6x−14.

STEP 1

Assumptions1. The equation is x+12=6x−14x +12 =6x -14x+12=6x−14 . We are looking for the value of xxx that makes this equation true

STEP 2

First, we need to isolate xxx terms on one side of the equation. We can do this by subtracting 2x2x2x from both sides of the equation.2x+12−2x=6x−14−2x2x +12 -2x =6x -14 -2x2x+12−2x=6x−14−2x

STEP 3

implify the equation.12=x−1412 =x -1412=x−14

STEP 4

Next, we need to isolate xxx by adding 141414 to both sides of the equation.12+14=4x−14+1412 +14 =4x -14 +1412+14=4x−14+14

STEP 5

implify the equation.26=4x26 =4x26=4x

STEP 6

Finally, we need to solve for xxx by dividing both sides of the equation by 444.x=264x = \frac{26}{4}x=426​

STEP 7

implify the equation to find the value of xxx.x=6.5x =6.5x=6.5The value of xxx that makes the equation true is 6.56.56.5.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find the value of $x$ that satisfies the equation $2x+12=6x-14$ .

Assumptions1. The equation is $x +12 =6x -14$ . We are looking for the value of $x$ that makes this equation true

First, we need to isolate $x$ terms on one side of the equation. We can do this by subtracting $2x$ from both sides of the equation.
$2x +12 -2x =6x -14 -2x$

implify the equation.
$12 =x -14$

Next, we need to isolate $x$ by adding $14$ to both sides of the equation.
$12 +14 =4x -14 +14$

implify the equation.
$26 =4x$

Finally, we need to solve for $x$ by dividing both sides of the equation by $4$ .
$x = \frac{26}{4}$

implify the equation to find the value of $x$ .
$x =6.5$ The value of $x$ that makes the equation true is $6.5$ .