QuestionSolve the equation: $3x - 5 = 7x + 11$ . What is the solution set? Choose A, B, or C.

Studdy Solution

STEP 1

Assumptions1. The equation is $3x -5 =7x +11$ . We are solving for $x$
3. The solution set is either a single value, all real numbers, or an empty set

STEP 2

First, we need to isolate the variable $x$ on one side of the equation. We can do this by subtracting $x$ from both sides of the equation.
$x -x -5 =7x -x +11$

STEP 3

implify the equation.
$-5 =x +11$

STEP 4

Next, we need to isolate $x$ by subtracting $11$ from both sides of the equation.
$- -11 =4x +11 -11$

STEP 5

implify the equation.
$-16 =4x$

STEP 6

Finally, we need to solve for $x$ by dividing both sides of the equation by $4$ .
$\frac{-16}{4} = \frac{4x}{4}$

STEP 7

implify the equation to find the solution for $x$ .
$x = -4$ The solution set is $x = -4$ .

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QuestionSolve the equation: $3x - 5 = 7x + 11$ . What is the solution set? Choose A, B, or C.

Studdy Solution

STEP 1

Assumptions1. The equation is $3x -5 =7x +11$ . We are solving for $x$
3. The solution set is either a single value, all real numbers, or an empty set

STEP 2

First, we need to isolate the variable $x$ on one side of the equation. We can do this by subtracting $x$ from both sides of the equation.
$x -x -5 =7x -x +11$

STEP 3

implify the equation.
$-5 =x +11$

STEP 4

Next, we need to isolate $x$ by subtracting $11$ from both sides of the equation.
$- -11 =4x +11 -11$

STEP 5

implify the equation.
$-16 =4x$

STEP 6

Finally, we need to solve for $x$ by dividing both sides of the equation by $4$ .
$\frac{-16}{4} = \frac{4x}{4}$

STEP 7

implify the equation to find the solution for $x$ .
$x = -4$ The solution set is $x = -4$ .

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QuestionSolve the equation: 3x−5=7x+113x - 5 = 7x + 113x−5=7x+11. What is the solution set? Choose A, B, or C.

Studdy Solution

STEP 1

Assumptions1. The equation is 3x−5=7x+113x -5 =7x +113x−5=7x+11 . We are solving for xxx3. The solution set is either a single value, all real numbers, or an empty set

STEP 2

First, we need to isolate the variable xxx on one side of the equation. We can do this by subtracting xxx from both sides of the equation.x−x−5=7x−x+11x -x -5 =7x -x +11x−x−5=7x−x+11

STEP 3

implify the equation.−5=x+11-5 =x +11−5=x+11

STEP 4

Next, we need to isolate xxx by subtracting 111111 from both sides of the equation.−−11=4x+11−11- -11 =4x +11 -11−−11=4x+11−11

STEP 5

implify the equation.−16=4x-16 =4x−16=4x

STEP 6

Finally, we need to solve for xxx by dividing both sides of the equation by 444.−164=4x4\frac{-16}{4} = \frac{4x}{4}4−16​=44x​

STEP 7

implify the equation to find the solution for xxx.x=−4x = -4x=−4The solution set is x=−4x = -4x=−4.

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QuestionSolve the equation: $3x - 5 = 7x + 11$ . What is the solution set? Choose A, B, or C.

Assumptions1. The equation is $3x -5 =7x +11$ . We are solving for $x$
3. The solution set is either a single value, all real numbers, or an empty set

First, we need to isolate the variable $x$ on one side of the equation. We can do this by subtracting $x$ from both sides of the equation.
$x -x -5 =7x -x +11$

implify the equation.
$-5 =x +11$

Next, we need to isolate $x$ by subtracting $11$ from both sides of the equation.
$- -11 =4x +11 -11$

implify the equation.
$-16 =4x$

Finally, we need to solve for $x$ by dividing both sides of the equation by $4$ .
$\frac{-16}{4} = \frac{4x}{4}$

implify the equation to find the solution for $x$ .
$x = -4$ The solution set is $x = -4$ .