QuestionSolve for $x$ in the equation: $\frac{8 x}{5}-5=11$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $\frac{8 x}{5}-5=11$ . . We need to solve for $x$ .

STEP 2

First, we need to isolate the term with $x$ on one side of the equation. We can do this by adding $5$ to both sides of the equation.
$\frac{8 x}{5}-5+5=11+5$

STEP 3

implify both sides of the equation.
$\frac{8 x}{5}=16$

STEP 4

Next, we need to isolate $x$ on one side of the equation. We can do this by multiplying both sides of the equation by $$.
$\cdot \frac{8 x}{}=16 \cdot$

STEP 5

implify both sides of the equation.
$8x=80$

STEP 6

Finally, we need to solve for $x$ . We can do this by dividing both sides of the equation by $8$ .
$\frac{8x}{8}=\frac{80}{8}$

STEP 7

implify both sides of the equation.
$x=10$ So, the solution to the equation $\frac{ x}{5}-5=11$ is $x=10$ .

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QuestionSolve for $x$ in the equation: $\frac{8 x}{5}-5=11$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $\frac{8 x}{5}-5=11$ . . We need to solve for $x$ .

STEP 2

First, we need to isolate the term with $x$ on one side of the equation. We can do this by adding $5$ to both sides of the equation.
$\frac{8 x}{5}-5+5=11+5$

STEP 3

implify both sides of the equation.
$\frac{8 x}{5}=16$

STEP 4

Next, we need to isolate $x$ on one side of the equation. We can do this by multiplying both sides of the equation by $$.
$\cdot \frac{8 x}{}=16 \cdot$

STEP 5

implify both sides of the equation.
$8x=80$

STEP 6

Finally, we need to solve for $x$ . We can do this by dividing both sides of the equation by $8$ .
$\frac{8x}{8}=\frac{80}{8}$

STEP 7

implify both sides of the equation.
$x=10$ So, the solution to the equation $\frac{ x}{5}-5=11$ is $x=10$ .

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QuestionSolve for xxx in the equation: 8x5−5=11\frac{8 x}{5}-5=1158x​−5=11.

Studdy Solution

STEP 1

Assumptions1. The given equation is 8x5−5=11\frac{8 x}{5}-5=1158x​−5=11. . We need to solve for xxx.

STEP 2

First, we need to isolate the term with xxx on one side of the equation. We can do this by adding 555 to both sides of the equation.8x5−5+5=11+5\frac{8 x}{5}-5+5=11+558x​−5+5=11+5

STEP 3

implify both sides of the equation.8x5=16\frac{8 x}{5}=1658x​=16

STEP 4

Next, we need to isolate xxx on one side of the equation. We can do this by multiplying both sides of the equation by $$.⋅8x=16⋅ \cdot \frac{8 x}{}=16 \cdot⋅8x​=16⋅

STEP 5

implify both sides of the equation.8x=808x=808x=80

STEP 6

Finally, we need to solve for xxx. We can do this by dividing both sides of the equation by 888.8x8=808\frac{8x}{8}=\frac{80}{8}88x​=880​

STEP 7

implify both sides of the equation.x=10x=10x=10So, the solution to the equation x5−5=11\frac{ x}{5}-5=115x​−5=11 is x=10x=10x=10.

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QuestionSolve for $x$ in the equation: $\frac{8 x}{5}-5=11$ .

Assumptions1. The given equation is $\frac{8 x}{5}-5=11$ . . We need to solve for $x$ .

First, we need to isolate the term with $x$ on one side of the equation. We can do this by adding $5$ to both sides of the equation.
$\frac{8 x}{5}-5+5=11+5$

implify both sides of the equation.
$\frac{8 x}{5}=16$

Next, we need to isolate $x$ on one side of the equation. We can do this by multiplying both sides of the equation by $$.
$\cdot \frac{8 x}{}=16 \cdot$

implify both sides of the equation.
$8x=80$

Finally, we need to solve for $x$ . We can do this by dividing both sides of the equation by $8$ .
$\frac{8x}{8}=\frac{80}{8}$

implify both sides of the equation.
$x=10$ So, the solution to the equation $\frac{ x}{5}-5=11$ is $x=10$ .