QuestionSolve the equation $3(x-5)=x+11$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $3(x-5)=x+11$ . We are solving for the variable $x$

STEP 2

First, we distribute the $$ on the left side of the equation.
$(x-5) =x -15$

STEP 3

Now, we substitute $3x -15$ back into the equation.
$3x -15 = x +11$

STEP 4

Next, we subtract $x$ from both sides of the equation to isolate $x$ on one side.
$3x - x =15 +11$

STEP 5

implify the equation.
$2x =26$

STEP 6

Finally, we divide both sides of the equation by $2$ to solve for $x$ .
$x =26 /2$

STEP 7

Calculate the value of $x$ .
$x =26 /2 =13$ The solution to the equation $3(x-5)=x+11$ is $x =13$ .

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QuestionSolve the equation $3(x-5)=x+11$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $3(x-5)=x+11$ . We are solving for the variable $x$

STEP 2

First, we distribute the $$ on the left side of the equation.
$(x-5) =x -15$

STEP 3

Now, we substitute $3x -15$ back into the equation.
$3x -15 = x +11$

STEP 4

Next, we subtract $x$ from both sides of the equation to isolate $x$ on one side.
$3x - x =15 +11$

STEP 5

implify the equation.
$2x =26$

STEP 6

Finally, we divide both sides of the equation by $2$ to solve for $x$ .
$x =26 /2$

STEP 7

Calculate the value of $x$ .
$x =26 /2 =13$ The solution to the equation $3(x-5)=x+11$ is $x =13$ .

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QuestionSolve the equation 3(x−5)=x+113(x-5)=x+113(x−5)=x+11.

Studdy Solution

STEP 1

Assumptions1. The equation is 3(x−5)=x+113(x-5)=x+113(x−5)=x+11 . We are solving for the variable xxx

STEP 2

First, we distribute the $$ on the left side of the equation.(x−5)=x−15(x-5) =x -15(x−5)=x−15

STEP 3

Now, we substitute 3x−153x -153x−15 back into the equation.3x−15=x+113x -15 = x +113x−15=x+11

STEP 4

Next, we subtract xxx from both sides of the equation to isolate xxx on one side.3x−x=15+113x - x =15 +113x−x=15+11

STEP 5

implify the equation.2x=262x =262x=26

STEP 6

Finally, we divide both sides of the equation by 222 to solve for xxx.x=26/2x =26 /2x=26/2

STEP 7

Calculate the value of xxx.x=26/2=13x =26 /2 =13x=26/2=13The solution to the equation 3(x−5)=x+113(x-5)=x+113(x−5)=x+11 is x=13x =13x=13.

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QuestionSolve the equation $3(x-5)=x+11$ .

Assumptions1. The equation is $3(x-5)=x+11$ . We are solving for the variable $x$

First, we distribute the $$ on the left side of the equation.
$(x-5) =x -15$

Now, we substitute $3x -15$ back into the equation.
$3x -15 = x +11$

Next, we subtract $x$ from both sides of the equation to isolate $x$ on one side.
$3x - x =15 +11$

implify the equation.
$2x =26$

Finally, we divide both sides of the equation by $2$ to solve for $x$ .
$x =26 /2$

Calculate the value of $x$ .
$x =26 /2 =13$ The solution to the equation $3(x-5)=x+11$ is $x =13$ .