QuestionSolve for $x$ : $2(x+4)-16=2$

Studdy Solution

STEP 1

Assumptions1. We are given the equation $(x+4)-16=$ . We are solving for $x$

STEP 2

First, we need to simplify the left side of the equation. We can do this by distributing the $2$ to both terms inside the parentheses.
$2(x+4)-16 =2x +8 -16$

STEP 3

Now, combine the constants on the left side of the equation.
$2x +8 -16 =2x -8$

STEP 4

We now have the equation $2x -8 =2$ . To isolate $x$ , we first need to get rid of the $-8$ on the left side of the equation. We can do this by adding $8$ to both sides of the equation.
$2x -8 +8 =2 +8$

STEP 5

implify both sides of the equation.
$2x =10$

STEP 6

Finally, to solve for $x$ , we need to divide both sides of the equation by $2$ .
$x = \frac{10}{2}$

STEP 7

Calculate the value of $x$ .
$x = \frac{10}{2} =5$ So, the solution to the equation $2(x+4)-16=2$ is $x=5$ .

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QuestionSolve for $x$ : $2(x+4)-16=2$

Studdy Solution

STEP 1

Assumptions1. We are given the equation $(x+4)-16=$ . We are solving for $x$

STEP 2

First, we need to simplify the left side of the equation. We can do this by distributing the $2$ to both terms inside the parentheses.
$2(x+4)-16 =2x +8 -16$

STEP 3

Now, combine the constants on the left side of the equation.
$2x +8 -16 =2x -8$

STEP 4

We now have the equation $2x -8 =2$ . To isolate $x$ , we first need to get rid of the $-8$ on the left side of the equation. We can do this by adding $8$ to both sides of the equation.
$2x -8 +8 =2 +8$

STEP 5

implify both sides of the equation.
$2x =10$

STEP 6

Finally, to solve for $x$ , we need to divide both sides of the equation by $2$ .
$x = \frac{10}{2}$

STEP 7

Calculate the value of $x$ .
$x = \frac{10}{2} =5$ So, the solution to the equation $2(x+4)-16=2$ is $x=5$ .

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QuestionSolve for xxx: 2(x+4)−16=22(x+4)-16=22(x+4)−16=2

Studdy Solution

STEP 1

Assumptions1. We are given the equation (x+4)−16=(x+4)-16=(x+4)−16= . We are solving for xxx

STEP 2

First, we need to simplify the left side of the equation. We can do this by distributing the 222 to both terms inside the parentheses.2(x+4)−16=2x+8−162(x+4)-16 =2x +8 -162(x+4)−16=2x+8−16

STEP 3

Now, combine the constants on the left side of the equation.2x+8−16=2x−82x +8 -16 =2x -82x+8−16=2x−8

STEP 4

We now have the equation 2x−8=22x -8 =22x−8=2. To isolate xxx, we first need to get rid of the −8-8−8 on the left side of the equation. We can do this by adding 888 to both sides of the equation.2x−8+8=2+82x -8 +8 =2 +82x−8+8=2+8

STEP 5

implify both sides of the equation.2x=102x =102x=10

STEP 6

Finally, to solve for xxx, we need to divide both sides of the equation by 222.x=102x = \frac{10}{2}x=210​

STEP 7

Calculate the value of xxx.x=102=5x = \frac{10}{2} =5x=210​=5So, the solution to the equation 2(x+4)−16=22(x+4)-16=22(x+4)−16=2 is x=5x=5x=5.

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QuestionSolve for $x$ : $2(x+4)-16=2$

Assumptions1. We are given the equation $(x+4)-16=$ . We are solving for $x$

First, we need to simplify the left side of the equation. We can do this by distributing the $2$ to both terms inside the parentheses.
$2(x+4)-16 =2x +8 -16$

Now, combine the constants on the left side of the equation.
$2x +8 -16 =2x -8$

We now have the equation $2x -8 =2$ . To isolate $x$ , we first need to get rid of the $-8$ on the left side of the equation. We can do this by adding $8$ to both sides of the equation.
$2x -8 +8 =2 +8$

implify both sides of the equation.
$2x =10$

Finally, to solve for $x$ , we need to divide both sides of the equation by $2$ .
$x = \frac{10}{2}$

Calculate the value of $x$ .
$x = \frac{10}{2} =5$ So, the solution to the equation $2(x+4)-16=2$ is $x=5$ .