QuestionSolve the equation: $\frac{x-4}{2}=\frac{5}{2}$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $\frac{x-4}{}=\frac{5}{}$

STEP 2

The goal is to isolate the variable x. To do this, we can start by multiplying both sides of the equation by2 to get rid of the denominator.
$2 \cdot \frac{x-4}{2} =2 \cdot \frac{5}{2}$

STEP 3

implify both sides of the equation.
$x- =5$

STEP 4

Now, we can solve for x by adding4 to both sides of the equation.
$x-4+4 =+4$

STEP 5

implify both sides of the equation.
$x =9$ So, the solution to the equation $\frac{x-4}{2}=\frac{5}{2}$ is $x =9$ .

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QuestionSolve the equation: $\frac{x-4}{2}=\frac{5}{2}$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $\frac{x-4}{}=\frac{5}{}$

STEP 2

The goal is to isolate the variable x. To do this, we can start by multiplying both sides of the equation by2 to get rid of the denominator.
$2 \cdot \frac{x-4}{2} =2 \cdot \frac{5}{2}$

STEP 3

implify both sides of the equation.
$x- =5$

STEP 4

Now, we can solve for x by adding4 to both sides of the equation.
$x-4+4 =+4$

STEP 5

implify both sides of the equation.
$x =9$ So, the solution to the equation $\frac{x-4}{2}=\frac{5}{2}$ is $x =9$ .

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QuestionSolve the equation: x−42=52\frac{x-4}{2}=\frac{5}{2}2x−4​=25​.

Studdy Solution

STEP 1

Assumptions1. The equation is x−4=5\frac{x-4}{}=\frac{5}{}x−4​=5​

STEP 2

The goal is to isolate the variable x. To do this, we can start by multiplying both sides of the equation by2 to get rid of the denominator.2⋅x−42=2⋅522 \cdot \frac{x-4}{2} =2 \cdot \frac{5}{2}2⋅2x−4​=2⋅25​

STEP 3

implify both sides of the equation.x−=5x- =5x−=5

STEP 4

Now, we can solve for x by adding4 to both sides of the equation.x−4+4=+4x-4+4 =+4x−4+4=+4

STEP 5

implify both sides of the equation.x=9x =9x=9So, the solution to the equation x−42=52\frac{x-4}{2}=\frac{5}{2}2x−4​=25​ is x=9x =9x=9.

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QuestionSolve the equation: $\frac{x-4}{2}=\frac{5}{2}$ .

Assumptions1. The equation is $\frac{x-4}{}=\frac{5}{}$

The goal is to isolate the variable x. To do this, we can start by multiplying both sides of the equation by2 to get rid of the denominator.
$2 \cdot \frac{x-4}{2} =2 \cdot \frac{5}{2}$

implify both sides of the equation.
$x- =5$

Now, we can solve for x by adding4 to both sides of the equation.
$x-4+4 =+4$

implify both sides of the equation.
$x =9$ So, the solution to the equation $\frac{x-4}{2}=\frac{5}{2}$ is $x =9$ .