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shepuryov [24]
3 years ago
9

Solve the equation 4-2(x+7)=3(x+5) =

Mathematics
2 answers:
kumpel [21]3 years ago
8 0

Hi there!


To solve this equation, I first would like to warn you about the long answer I am about to post for you. I'll be putting in very detailed steps for you, showing you how to simplify and distribute numbers, etc. :)


Let us solve your equation step-by-step.


Step 1) Simplify both sides of the equation.


To simplify this, we will...


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


4 + - 2x + - 14 = 3x + 15


(-2x) + (4 + - 14) = 3x + 15


Now, we combine Like Terms...


-2x + - 10 = 3x + 15


-2x - 10 = 3x + 15


Fwew! That was probably going to be the longest step here!


Step 2) Subtract 3x from both sides.


- 2x - 10 - 3x = 3x + 15 - 3x


- 5x - 10 = 15


Step 3) Add 10 to both sides.


- 5x - 10 + 10 = 15 + 10


- 5x = 25


Step 4) Divide both sides by -5.


-5x/-5 = 25/-5


So, our final answer is x = -5.


Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

KonstantinChe [14]3 years ago
8 0
4-2(x+7)=3(x+5)
4-2x-14=3x+15
2x-3x=15-4+14
-x=15
(x=-15)
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Sydney took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.75 per mile. The total fare was $
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The equation is x = 20.85 / 1.75 where x is the number of miles and the number of miles is 11.91 miles.

Given,

Sydney took a taxi from her house to the airport.

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We need to write and solve an equation that can be used to determine the number of miles in the taxi ride.

We have,

Taxi fare per mile = $1.75

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Find the number of miles in a total fare of $20.85.

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Multiplying by 20.85 on both sides.

20.85 x $1.75 = 20.85 x 1 mile

Dividing by 1.75 on both sides.

(20.85 x $1.75) / 1.75  = (20.85 x 1 mile) / 1.75

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x = 20.85 / 1.75

Where x is the number of miles.

we get,

x = 20.85 / 1.75 = 11.91

Thus the equation is x = 20.85 / 1.75 and the number of miles is 11.91 miles.

Learn more about solving an equation to find the number of miles with a rate given per mile here:

brainly.com/question/22582035

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