Question Solve the equation $49=1-(x+1)$ for x.

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $49 = 1 - (x + 1)$ .
2. We need to solve for the variable $x$ .

STEP 2

First, we simplify the right side of the equation by distributing the negative sign to both terms inside the parentheses.
$49 = 1 - x - 1$

STEP 3

Next, we combine like terms on the right side of the equation.
$49 = -x$

STEP 4

Now, we need to isolate the variable $x$ . Since $x$ is multiplied by $-1$ , we can divide both sides of the equation by $-1$ to solve for $x$ .
$\frac{49}{-1} = \frac{-x}{-1}$

STEP 5

Perform the division on both sides of the equation.
$-49 = x$

STEP 6

Thus, we have found the value of $x$ .
$x = -49$

Was this helpful?

Question Solve the equation $49=1-(x+1)$ for x.

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $49 = 1 - (x + 1)$ .
2. We need to solve for the variable $x$ .

STEP 2

First, we simplify the right side of the equation by distributing the negative sign to both terms inside the parentheses.
$49 = 1 - x - 1$

STEP 3

Next, we combine like terms on the right side of the equation.
$49 = -x$

STEP 4

Now, we need to isolate the variable $x$ . Since $x$ is multiplied by $-1$ , we can divide both sides of the equation by $-1$ to solve for $x$ .
$\frac{49}{-1} = \frac{-x}{-1}$

STEP 5

Perform the division on both sides of the equation.
$-49 = x$

STEP 6

Thus, we have found the value of $x$ .
$x = -49$

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.

Question Solve the equation 49=1−(x+1)49=1-(x+1)49=1−(x+1) for x.

Studdy Solution

STEP 1

Assumptions1. We are given the equation 49=1−(x+1)49 = 1 - (x + 1)49=1−(x+1).2. We need to solve for the variable xxx.

STEP 2

First, we simplify the right side of the equation by distributing the negative sign to both terms inside the parentheses.49=1−x−149 = 1 - x - 149=1−x−1

STEP 3

Next, we combine like terms on the right side of the equation.49=−x49 = -x49=−x

STEP 4

Now, we need to isolate the variable xxx. Since xxx is multiplied by −1-1−1, we can divide both sides of the equation by −1-1−1 to solve for xxx.49−1=−x−1\frac{49}{-1} = \frac{-x}{-1}−149​=−1−x​

STEP 5

Perform the division on both sides of the equation.−49=x-49 = x−49=x

STEP 6

Thus, we have found the value of xxx.x=−49x = -49x=−49

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.

Question Solve the equation $49=1-(x+1)$ for x.

Assumptions
1. We are given the equation $49 = 1 - (x + 1)$ .
2. We need to solve for the variable $x$ .

First, we simplify the right side of the equation by distributing the negative sign to both terms inside the parentheses.
$49 = 1 - x - 1$

Next, we combine like terms on the right side of the equation.
$49 = -x$

Now, we need to isolate the variable $x$ . Since $x$ is multiplied by $-1$ , we can divide both sides of the equation by $-1$ to solve for $x$ .
$\frac{49}{-1} = \frac{-x}{-1}$

Perform the division on both sides of the equation.
$-49 = x$

Thus, we have found the value of $x$ .
$x = -49$