QuestionSolve for $x$ in the equation: $x + 2^{2} = 8 - x$ .

Studdy Solution

STEP 1

Assumptions1. We are given the equation $x +^{} =8 - x$ . We need to solve for $x$

STEP 2

First, simplify the equation by calculating the value of $2^{2}$ .
$x +2^{2} = x +4$ So, the equation becomes $x +4 =8 - x$

STEP 3

Next, we rearrange the equation to bring the terms involving $x$ on one side and the constant on the other side. We do this by adding $x$ to both sides of the equation.
$x + x + =8 - x + x$ This simplifies to $2x + =8$

STEP 4

Now, we isolate $x$ by subtracting $4$ from both sides of the equation.
$2x +4 -4 =8 -4$ This simplifies to $2x =4$

STEP 5

Finally, we solve for $x$ by dividing both sides of the equation by $2$ .
$x = \frac{4}{2}$

STEP 6

Calculate the value of $x$ .
$x = \frac{4}{2} =2$ The solution to the equation $x +2^{2} =8 - x$ is $x =2$ .

Was this helpful?

QuestionSolve for $x$ in the equation: $x + 2^{2} = 8 - x$ .

Studdy Solution

STEP 1

Assumptions1. We are given the equation $x +^{} =8 - x$ . We need to solve for $x$

STEP 2

First, simplify the equation by calculating the value of $2^{2}$ .
$x +2^{2} = x +4$ So, the equation becomes $x +4 =8 - x$

STEP 3

Next, we rearrange the equation to bring the terms involving $x$ on one side and the constant on the other side. We do this by adding $x$ to both sides of the equation.
$x + x + =8 - x + x$ This simplifies to $2x + =8$

STEP 4

Now, we isolate $x$ by subtracting $4$ from both sides of the equation.
$2x +4 -4 =8 -4$ This simplifies to $2x =4$

STEP 5

Finally, we solve for $x$ by dividing both sides of the equation by $2$ .
$x = \frac{4}{2}$

STEP 6

Calculate the value of $x$ .
$x = \frac{4}{2} =2$ The solution to the equation $x +2^{2} =8 - x$ is $x =2$ .

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionSolve for xxx in the equation: x+22=8−xx + 2^{2} = 8 - xx+22=8−x.

Studdy Solution

STEP 1

Assumptions1. We are given the equation x+=8−xx +^{} =8 - xx+=8−x . We need to solve for xxx

STEP 2

First, simplify the equation by calculating the value of 222^{2}22.x+22=x+4x +2^{2} = x +4x+22=x+4So, the equation becomesx+4=8−xx +4 =8 - xx+4=8−x

STEP 3

Next, we rearrange the equation to bring the terms involving xxx on one side and the constant on the other side. We do this by adding xxx to both sides of the equation.x+x+=8−x+xx + x + =8 - x + xx+x+=8−x+xThis simplifies to2x+=82x + =82x+=8

STEP 4

Now, we isolate xxx by subtracting 444 from both sides of the equation.2x+4−4=8−42x +4 -4 =8 -42x+4−4=8−4This simplifies to2x=42x =42x=4

STEP 5

Finally, we solve for xxx by dividing both sides of the equation by 222.x=42x = \frac{4}{2}x=24​

STEP 6

Calculate the value of xxx.x=42=2x = \frac{4}{2} =2x=24​=2The solution to the equation x+22=8−xx +2^{2} =8 - xx+22=8−x is x=2x =2x=2.

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionSolve for $x$ in the equation: $x + 2^{2} = 8 - x$ .

Assumptions1. We are given the equation $x +^{} =8 - x$ . We need to solve for $x$

First, simplify the equation by calculating the value of $2^{2}$ .
$x +2^{2} = x +4$ So, the equation becomes $x +4 =8 - x$

Next, we rearrange the equation to bring the terms involving $x$ on one side and the constant on the other side. We do this by adding $x$ to both sides of the equation.
$x + x + =8 - x + x$ This simplifies to $2x + =8$

Now, we isolate $x$ by subtracting $4$ from both sides of the equation.
$2x +4 -4 =8 -4$ This simplifies to $2x =4$

Finally, we solve for $x$ by dividing both sides of the equation by $2$ .
$x = \frac{4}{2}$

Calculate the value of $x$ .
$x = \frac{4}{2} =2$ The solution to the equation $x +2^{2} =8 - x$ is $x =2$ .