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Eddi Din [679]
3 years ago
11

Solve for x: 3x – 2(6 - x) = 7x + 2(5 + x) – 6

Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0

Answer:

-4

Step-by-step explanation:

3x-2(6-x)=7x+2(5+x)-6

First, distribute.

3x+ −12+ 2x = 7x + 10 + 2x −6

Combine like terms on each side.

5x − 12= 9x + 4

To solve for x, pick a side to solve. I will solve the right x.

5x - 12 = 9x + 4

-5x         -5x

-12 = 4x + 4

Subtract 4 to isolate the variable.

-16 = 4x

Divide 4.

-4 = x

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What are some expressions that are equivalent to 6(m+2+ m)
Maurinko [17]

Answer:

12m + 12 is one equivalent expression

Step-by-step explanation:

This can be found by distributing the numbers as shown below:

6(m + 2 + m)

6m + 12 + 6m

12m + 12

8 0
3 years ago
Read 2 more answers
2/3x+7=5/6<br> Rewrite the equation below so that it doesn’t have fractions please.
kipiarov [429]

To eliminate all of the fractions in an equation, we can multiply the equation by the least common denominator of all of the fractions in the equation. To find the LCD, we need to find a number that has at least all of the factors of each of the denominators.


To find the LCD of the fractions in this equation, let's look at our denominators, 3 and 6. We can say 3 = 3 and 6 = 2 * 3. By examining this, we can see that our LCD <em>has to have </em>a 3 and 2, since those numbers are found in at least one of the fractions. Thus, our LCD is 3 * 2 = 6.


Now we know to multiply our entire equation by 6. This is solved as shown:

6(\dfrac{2}{3}x + 7) = 6(\dfrac{5}{6}) \Rightarrow \boxed{4x + 42 = 5}


Our answer is 4x + 42 = 5.

5 0
4 years ago
When you divide both sides of an inequality by a negative number, you need to _____ the inequality symbol.
Ahat [919]

Answer:

The correct option is option;

A. Flip

Step-by-step explanation:

When both sides of an inequality is divided by a negative number, it changes the sign of both numbers while their magnitude remain the same;

Therefore, if the right hand side of the inequality is lesser than the left hand side, when the signs of the left and right hand sides of the inequality changes after a division , by a negative number, we have;

The smaller right hand side of the inequality will then have a lesser negative magnitude than the left hand side of the inequality with a higher negative value and the left hand side (with the higher negative value) becomes lesser than the right and therefore, the symbol (sign) of the inequality is flipped

Therefore, when you divide both sides of an inequality by a negative number, you need to <u>flip</u> the inequality symbol.

7 0
3 years ago
2). Jacob is buying ice cream. How many combinations are there?
jeka94
The answer is 16 different combinations. All you do is multiply all the numbers of different results.

Hope this helps!! :)
8 0
3 years ago
7 twelveths divided by 2 fifths.
9966 [12]

Answer: 1 11/24

<u>Do Keep Change Flip (KCF)</u>

Keep: 7/12

Change: ÷ into ×

Flip: 2/5 into 5/2

Your new problem should be 7/12*5/2

<u>Multiply</u>

7/12*5/2=35/24

<u>Turn 35/24 into a Mixed Number (Dvide)</u>

35÷24 = 1 11/24

5 0
3 years ago
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