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Please help me understand this

Please help me understand this-example-1

2 Answers

3 votes

Answer:

x = 11

Explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

*(-2-2*x)/(3)-(-8)=0

Simplify:

*-2 - 2x / 3

Pull out like factors:

*-2 - 2x = -2 • (x + 1)

Now It should look like this:

-2 • (x + 1) / 3 - (-8) = 0

Rewrite the whole as a equivalent fraction using 3 as the denominator:

*-8 = -8 / 1 = -8 • 3 / 3

Add the two equivalent fractions which now have a common denominator

-Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

*-2 • (x+1) - (-8 • 3) / 3 = 22 - 2x / 3

Pull out like factors:

*22 - 2x = -2 • (x - 11)

Now you should have this:

*-2 • (x - 11) / 3 = 0

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

-Now, to get rid of the denominator, multiply both sides of the equation by the denominator.

*-2•(x-11) / 3 • 3 = 0 • 3

-Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

Now you should have this:

*-2 • (x-11) = 0

Now Solve:

x-11 = 0

-Add 11 to both sides of the equation:

x = 11

User IBelieve
by
8.5k points
6 votes

Answer:


x=11

Explanation:

So we have the equation:


(-2-2x)/(3) =-8

First, multiply both sides by 3. This cancels out the denominator:


3((-2-2x)/(3) )=3(-8)

The left side cancels. Multiply the right:


(-2-2x)=-24

Add 2 to both sides. The 2s on the left cancel:


(-2-2x)+2=(-24)+2\\-2x=-22

Divide both sides by -2. The -2 on the left cancel.


(-2x)/-2=(-22)/-2\\x=11

Therefore, the answer is 11.

User Rajendra
by
7.7k points

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