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3 years ago

Simplify the expression using the distributive property.

Mathematics

2 answers:

Ede4ka [16]3 years ago

7 0

Answer:

-9x - 14

Step-by-step explanation:

Distribute (multiply) the 1/4 to everything in the parentheses.

1/4 * 4x = 1x or x 1/4 * -8 = -2

Then you distribute (multiply) the -2 to everything in the parentheses.

-2 * 5x = -10x -2 * 6 = -12

Then you put the equations together.

x - 2 - 10x - 12

Then you combine like terms.

x - 10x = -9x -2 - 12 = -14

Finally you get your answer in simplest form.

-9x - 14

iren [92.7K]3 years ago

6 0

Answer:

-9x-14

Step-by-step explanation:

Using distributive property, we can simplify the expression to x - 2 - 10x - 12

Then we can combine like terms and get -9x - 14

please thank if right :)

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-Dominant- [34]

Answer:

<h3> $\boxed{ \sf{ \bold{1. \: \: \: x = 5}}}$ </h3>

$\boxed{ \sf{ \bold{2. \: \: x = 6}}}$

$\boxed{ \bold{ \sf{3. \: \: x = 21}}}$

Step-by-step explanation:

1. $\sf{3x + 6 = 21}$

Move constant to right hand side and change its sign

⇒ $\sf{3x = 21 - 6}$

Subtract 6 from 21

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Divide both sides of the equation by 3

⇒ $\sf{ \frac{3x}{3} = \frac{15}{3} }$

Calculate

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--------------------------------------------------------

2. $\sf{33 = 7x - 9 }$

Swap the sides of the equation

⇒ $\sf{7x - 9 = 33}$

Move constant to right hand side and change it's sign

⇒ $\sf{7x = 33 + 9}$

Add the numbers

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Divide both sides of the equation by 7

⇒ $\sf{ \frac{7x}{7} = \frac{42}{7} }$

Calculate

⇒ $\sf{x = 6}$

---------------------------------------------------------

3. $\sf{28 = 7 + x}$

Swap the sides of the equation

⇒ $\sf{7 + x = 28}$

Move constant to right hand side and change it's sign

⇒ $\sf{x = 28 - 7}$

Subtract 7 from 28

⇒ $\sf{x = 21}$

Hope I helped!

Best regards!!

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