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Solve 9(8 - x) = 3x.

User Axeltaglia
by
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2 Answers

4 votes

Hello there!

9(8-x)=3x

Use the Distributive Property to distribute 9:

72-9x=3x

Move all the variables to the left side. Be sure to use the opposite operation!

-9x-3x=-72

-12x=-72

Divide both sides by 12 in order to isolate x:

x=6

Hope this helps you!

~Just a joyful teen


SilentNature

User Riley Lark
by
5.1k points
3 votes

Hello - let's do this step by step. Show your work.

You're asking: 9(8−x)=3x.

Now, simplify both sides of the equation.

9(8−x)=3x

(9)(8)+(9)(−x)=3x (To do that, distribute)

72+−9x=3x

−9x+72=3x

Now, subtract 3x from both sides.

−9x+72−3x=3x−3x

Simplify,

−12x+72=0

After, subtract 72 from both sides.

−12x+72−72=0−72

−12x=−72

Last thing, divide both sides by -12.

-12x/12 = -72/-12

Divide.

Therefore, you have x = 6 as your final answer.

User Sam Rueby
by
5.0k points