Solved on Nov 07, 2023

Solve the equation $2(x+1)=12$ for $x$ .

STEP 1

Assumptions1. The equation to solve is $(x+1)=12$ . We are solving for the variable $x$

STEP 2

First, we need to distribute the2 on the left side of the equation to both terms inside the parentheses.
$2(x+1) =2x +2$

STEP 3

Now, we have a simplified equation $2x +2 =12$

STEP 4

Next, we need to isolate the variable $x$ on one side of the equation. We can do this by subtracting2 from both sides of the equation.
$2x +2 -2 =12 -2$

STEP 5

This simplifies to $2x =10$

STEP 6

Finally, we divide both sides of the equation by2 to solve for $x$ .
$\frac{2x}{2} = \frac{10}{2}$

STEP 7

This gives us the solution $x =5$ So, the solution to the equation $2(x+1)=12$ is $x=5$ .

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Solve the equation $2(x+1)=12$ for $x$ .

STEP 1

Assumptions1. The equation to solve is $(x+1)=12$ . We are solving for the variable $x$

STEP 2

First, we need to distribute the2 on the left side of the equation to both terms inside the parentheses.
$2(x+1) =2x +2$

STEP 3

Now, we have a simplified equation $2x +2 =12$

STEP 4

Next, we need to isolate the variable $x$ on one side of the equation. We can do this by subtracting2 from both sides of the equation.
$2x +2 -2 =12 -2$

STEP 5

This simplifies to $2x =10$

STEP 6

Finally, we divide both sides of the equation by2 to solve for $x$ .
$\frac{2x}{2} = \frac{10}{2}$

STEP 7

This gives us the solution $x =5$ So, the solution to the equation $2(x+1)=12$ is $x=5$ .

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Solve the equation 2(x+1)=122(x+1)=122(x+1)=12 for xxx.

STEP 1

Assumptions1. The equation to solve is (x+1)=12(x+1)=12(x+1)=12 . We are solving for the variable xxx

STEP 2

First, we need to distribute the2 on the left side of the equation to both terms inside the parentheses.2(x+1)=2x+22(x+1) =2x +22(x+1)=2x+2

STEP 3

Now, we have a simplified equation2x+2=122x +2 =122x+2=12

STEP 4

Next, we need to isolate the variable xxx on one side of the equation. We can do this by subtracting2 from both sides of the equation.2x+2−2=12−22x +2 -2 =12 -22x+2−2=12−2

STEP 5

This simplifies to2x=102x =102x=10

STEP 6

Finally, we divide both sides of the equation by2 to solve for xxx.2x2=102\frac{2x}{2} = \frac{10}{2}22x​=210​

STEP 7

This gives us the solutionx=5x =5x=5So, the solution to the equation 2(x+1)=122(x+1)=122(x+1)=12 is x=5x=5x=5.

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

Solve the equation $2(x+1)=12$ for $x$ .

Assumptions1. The equation to solve is $(x+1)=12$ . We are solving for the variable $x$

First, we need to distribute the2 on the left side of the equation to both terms inside the parentheses.
$2(x+1) =2x +2$

Now, we have a simplified equation $2x +2 =12$

Next, we need to isolate the variable $x$ on one side of the equation. We can do this by subtracting2 from both sides of the equation.
$2x +2 -2 =12 -2$

This simplifies to $2x =10$

Finally, we divide both sides of the equation by2 to solve for $x$ .
$\frac{2x}{2} = \frac{10}{2}$

This gives us the solution $x =5$ So, the solution to the equation $2(x+1)=12$ is $x=5$ .