QuestionSolve the equation: $-5(-2x-17)=-5$ . Find $x$ and simplify.

Studdy Solution

STEP 1

Assumptions1. We are given the equation -5(-x -17) = -5. We have to solve for x3. The equation is a linear equation

STEP 2

We are given that -5(-2x -17) simplifies to10x +85 = -5. This is done by distributing -5 to each term inside the parentheses.
$-5(-2x -17) =10x +85$

STEP 3

Next, we subtract85 from both sides of the equation to isolate the term with x on one side. This gives us10x = -90.
$10x +85 -85 = -5 -85$ $10x = -90$

STEP 4

Now, we divide both sides of the equation by10 to solve for x.
$\frac{10x}{10} = \frac{-90}{10}$

STEP 5

After performing the division, we find that x = -9.
$x = -9$ So, the solution to the equation is x = -9.

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QuestionSolve the equation: $-5(-2x-17)=-5$ . Find $x$ and simplify.

Studdy Solution

STEP 1

Assumptions1. We are given the equation -5(-x -17) = -5. We have to solve for x3. The equation is a linear equation

STEP 2

We are given that -5(-2x -17) simplifies to10x +85 = -5. This is done by distributing -5 to each term inside the parentheses.
$-5(-2x -17) =10x +85$

STEP 3

Next, we subtract85 from both sides of the equation to isolate the term with x on one side. This gives us10x = -90.
$10x +85 -85 = -5 -85$ $10x = -90$

STEP 4

Now, we divide both sides of the equation by10 to solve for x.
$\frac{10x}{10} = \frac{-90}{10}$

STEP 5

After performing the division, we find that x = -9.
$x = -9$ So, the solution to the equation is x = -9.

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QuestionSolve the equation: −5(−2x−17)=−5-5(-2x-17)=-5−5(−2x−17)=−5. Find xxx and simplify.

Studdy Solution

STEP 1

Assumptions1. We are given the equation -5(-x -17) = -5. We have to solve for x3. The equation is a linear equation

STEP 2

We are given that -5(-2x -17) simplifies to10x +85 = -5. This is done by distributing -5 to each term inside the parentheses.−5(−2x−17)=10x+85-5(-2x -17) =10x +85−5(−2x−17)=10x+85

STEP 3

Next, we subtract85 from both sides of the equation to isolate the term with x on one side. This gives us10x = -90.10x+85−85=−5−8510x +85 -85 = -5 -8510x+85−85=−5−8510x=−9010x = -9010x=−90

STEP 4

Now, we divide both sides of the equation by10 to solve for x.10x10=−9010\frac{10x}{10} = \frac{-90}{10}1010x​=10−90​

STEP 5

After performing the division, we find that x = -9.x=−9x = -9x=−9So, the solution to the equation is x = -9.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation: $-5(-2x-17)=-5$ . Find $x$ and simplify.

We are given that -5(-2x -17) simplifies to10x +85 = -5. This is done by distributing -5 to each term inside the parentheses.
$-5(-2x -17) =10x +85$

Next, we subtract85 from both sides of the equation to isolate the term with x on one side. This gives us10x = -90.
$10x +85 -85 = -5 -85$ $10x = -90$

Now, we divide both sides of the equation by10 to solve for x.
$\frac{10x}{10} = \frac{-90}{10}$

After performing the division, we find that x = -9.
$x = -9$ So, the solution to the equation is x = -9.