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Marina86 [1]
3 years ago
15

Solve for x: -4(3x − 2) = 6x + 2

Mathematics
2 answers:
loris [4]3 years ago
6 0

Answer:

x=\frac{1}{3}

Step-by-step explanation:

\text{We're given the following:}\\-4(3x-2)=6x+2\\\\\text{First, let's distribute the -4:}\\-12x+8=6x+2\\+12x\qquad+12x\\\\\text{That gives us:}\\8=18x+2\\-2\qquad-2\\6=18x\\\\\text{Now divide both sides by 18:}\\\frac{6}{18}=x\\\\\text{And simplify the fraction:}\\x=\frac{1}{3}

stepladder [879]3 years ago
4 0

Answer:

x = 1/3

Step-by-step explanation:

-4(3x − 2) = 6x + 2

Distribute

-12x +8 = 6x +2

Add 12x to each side

12x-12x+8 = 6x+2+12x

8 = 18x+2

Subtract 2 from each side

8-2 = 18x+2-2

6 = 18x

Divide each side by 18

6/18 = 18x/18

1/3 =x

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Issa jogged 2/3 of the way home from school .Then he was tired ,so he walked the remaining 3,200 m how many kilometers did he tr
MissTica

Answer:

9.6 km

Step-by-step explanation:

Issa jogged 2/3 of the way home from school.

Then he was tired, so he walked the remaining 3200 m.

In other words, the remaining 3200 m is 1/3 of the way from school to home.

Let the distance from school to home be x. Therefore:

\frac{1}{3}  * x = 3200\\\\=> x = 3200 * 3 \\\\x = 9600 m

Therefore, from school to home he traveled 9600 m.

To put this is kilometres:

1000 m = 1 km

9600 m = 9600 / 1000 = 9.6 km

He traveled 9.6 km from school to home.

4 0
4 years ago
How many solutions are there in 220=2x-12x
Elden [556K]

There will only be one solution to this problem.

220 = 2x - 12x

Combine like terms on the right side of the equation:

220 = - 10x

Divide both sides by - 10 to isolate the variable x.

220 / - 10 = x

-22 = x, one solution.

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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