QuestionSolve the equation: $\frac{6 x}{8}+3=-7$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $\frac{6 x}{8}+3=-7$ . 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 subtracting from both sides of the equation.
$\frac{6 x}{8}+-=-7-$

STEP 3

implify the equation.
$\frac{6 x}{8}=-10$

STEP 4

Now, we need to get rid of the fraction to make the equation easier to solve. We can do this by multiplying both sides of the equation by8.
$8 \times \frac{6 x}{8} =8 \times -10$

STEP 5

implify the equation.
$x = -80$

STEP 6

Finally, to solve for $x$ , we divide both sides of the equation by6.
$x = \frac{-80}{6}$

STEP 7

implify the equation to get the value of $x$ .
$x = -\frac{40}{3}$ So, the solution to the equation $\frac{6 x}{}+3=-7$ is $x = -\frac{40}{3}$ .

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QuestionSolve the equation: $\frac{6 x}{8}+3=-7$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $\frac{6 x}{8}+3=-7$ . 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 subtracting from both sides of the equation.
$\frac{6 x}{8}+-=-7-$

STEP 3

implify the equation.
$\frac{6 x}{8}=-10$

STEP 4

Now, we need to get rid of the fraction to make the equation easier to solve. We can do this by multiplying both sides of the equation by8.
$8 \times \frac{6 x}{8} =8 \times -10$

STEP 5

implify the equation.
$x = -80$

STEP 6

Finally, to solve for $x$ , we divide both sides of the equation by6.
$x = \frac{-80}{6}$

STEP 7

implify the equation to get the value of $x$ .
$x = -\frac{40}{3}$ So, the solution to the equation $\frac{6 x}{}+3=-7$ is $x = -\frac{40}{3}$ .

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QuestionSolve the equation: 6x8+3=−7\frac{6 x}{8}+3=-786x​+3=−7.

Studdy Solution

STEP 1

Assumptions1. The equation given is 6x8+3=−7\frac{6 x}{8}+3=-786x​+3=−7 . 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 subtracting from both sides of the equation.6x8+−=−7−\frac{6 x}{8}+-=-7-86x​+−=−7−

STEP 3

implify the equation.6x8=−10\frac{6 x}{8}=-1086x​=−10

STEP 4

Now, we need to get rid of the fraction to make the equation easier to solve. We can do this by multiplying both sides of the equation by8.8×6x8=8×−108 \times \frac{6 x}{8} =8 \times -108×86x​=8×−10

STEP 5

implify the equation.x=−80x = -80x=−80

STEP 6

Finally, to solve for xxx, we divide both sides of the equation by6.x=−806x = \frac{-80}{6}x=6−80​

STEP 7

implify the equation to get the value of xxx.x=−403x = -\frac{40}{3}x=−340​So, the solution to the equation 6x+3=−7\frac{6 x}{}+3=-76x​+3=−7 is x=−403x = -\frac{40}{3}x=−340​.

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QuestionSolve the equation: $\frac{6 x}{8}+3=-7$ .

Assumptions1. The equation given is $\frac{6 x}{8}+3=-7$ . 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 subtracting from both sides of the equation.
$\frac{6 x}{8}+-=-7-$

implify the equation.
$\frac{6 x}{8}=-10$

Now, we need to get rid of the fraction to make the equation easier to solve. We can do this by multiplying both sides of the equation by8.
$8 \times \frac{6 x}{8} =8 \times -10$

implify the equation.
$x = -80$

Finally, to solve for $x$ , we divide both sides of the equation by6.
$x = \frac{-80}{6}$

implify the equation to get the value of $x$ .
$x = -\frac{40}{3}$ So, the solution to the equation $\frac{6 x}{}+3=-7$ is $x = -\frac{40}{3}$ .