QuestionSolve for $x$ : $4(2x - 2) = 24$

Studdy Solution

STEP 1

Assumptions1. The equation to be solved is $4(x -) =24$ . . The variable $x$ is what we are solving for.

STEP 2

First, we need to distribute the $4$ on the left side of the equation. This means we multiply $4$ by each term inside the parentheses.
$4(2x -2) =4 \cdot2x -4 \cdot2$

STEP 3

Now, calculate the multiplication to simplify the equation.
$8x -8 =24$

STEP 4

Next, we need to isolate the variable $x$ on one side of the equation. We can do this by adding $8$ to both sides of the equation.
$8x -8 +8 =24 +8$

STEP 5

Now, simplify the equation.
$8x =32$

STEP 6

Finally, to solve for $x$ , we divide both sides of the equation by $8$ .
$x = \frac{32}{8}$

STEP 7

Calculate the value of $x$ .
$x =4$ So, the solution to the equation $4(2x -2) =24$ is $x =4$ .

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QuestionSolve for $x$ : $4(2x - 2) = 24$

Studdy Solution

STEP 1

Assumptions1. The equation to be solved is $4(x -) =24$ . . The variable $x$ is what we are solving for.

STEP 2

First, we need to distribute the $4$ on the left side of the equation. This means we multiply $4$ by each term inside the parentheses.
$4(2x -2) =4 \cdot2x -4 \cdot2$

STEP 3

Now, calculate the multiplication to simplify the equation.
$8x -8 =24$

STEP 4

Next, we need to isolate the variable $x$ on one side of the equation. We can do this by adding $8$ to both sides of the equation.
$8x -8 +8 =24 +8$

STEP 5

Now, simplify the equation.
$8x =32$

STEP 6

Finally, to solve for $x$ , we divide both sides of the equation by $8$ .
$x = \frac{32}{8}$

STEP 7

Calculate the value of $x$ .
$x =4$ So, the solution to the equation $4(2x -2) =24$ is $x =4$ .

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QuestionSolve for xxx: 4(2x−2)=244(2x - 2) = 244(2x−2)=24

Studdy Solution

STEP 1

Assumptions1. The equation to be solved is 4(x−)=244(x -) =244(x−)=24. . The variable xxx is what we are solving for.

STEP 2

First, we need to distribute the 444 on the left side of the equation. This means we multiply 444 by each term inside the parentheses.4(2x−2)=4⋅2x−4⋅24(2x -2) =4 \cdot2x -4 \cdot24(2x−2)=4⋅2x−4⋅2

STEP 3

Now, calculate the multiplication to simplify the equation.8x−8=248x -8 =248x−8=24

STEP 4

Next, we need to isolate the variable xxx on one side of the equation. We can do this by adding 888 to both sides of the equation.8x−8+8=24+88x -8 +8 =24 +88x−8+8=24+8

STEP 5

Now, simplify the equation.8x=328x =328x=32

STEP 6

Finally, to solve for xxx, we divide both sides of the equation by 888.x=328x = \frac{32}{8}x=832​

STEP 7

Calculate the value of xxx.x=4x =4x=4So, the solution to the equation 4(2x−2)=244(2x -2) =244(2x−2)=24 is x=4x =4x=4.

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QuestionSolve for $x$ : $4(2x - 2) = 24$

Assumptions1. The equation to be solved is $4(x -) =24$ . . The variable $x$ is what we are solving for.

First, we need to distribute the $4$ on the left side of the equation. This means we multiply $4$ by each term inside the parentheses.
$4(2x -2) =4 \cdot2x -4 \cdot2$

Now, calculate the multiplication to simplify the equation.
$8x -8 =24$

Next, we need to isolate the variable $x$ on one side of the equation. We can do this by adding $8$ to both sides of the equation.
$8x -8 +8 =24 +8$

Now, simplify the equation.
$8x =32$

Finally, to solve for $x$ , we divide both sides of the equation by $8$ .
$x = \frac{32}{8}$

Calculate the value of $x$ .
$x =4$ So, the solution to the equation $4(2x -2) =24$ is $x =4$ .