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Mathematics

1 answer:

densk [106]3 years ago

6 0

-5(x + 3) + 3(x - 1/3) = -24

Distributive property

-5x - 15 + 3x - 1 = -24

+5x

-15 + 3x - 1 = -24 + 5x

+24

9 + 3x - 1 = 5x

-3x

9 - 1 = 2x

Combine 9 and -1

8 = 2x

Divide by 2

x = 4

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Which equation shows a valid step in solving /2x-6+2x+6=0?

AfilCa [17]

An equation which shows a valid step that can be used to solve the given mathematical equation is $(\sqrt[3]{2x - 6})^3 = (-\sqrt[3]{2x + 6})^3$

<h3>What is an equation?</h3>

An equation simply refers to a mathematical expression that can be used to show the relationship existing between two (2) or more numerical quantities.

In this exercise, you're required to show a valid step which can be used to solve the given mathematical equation. Since both equations are having a cube root, the first step is to take the cube of both sides.

Take the cube of both sides, we have:

$\sqrt[3]{2x - 6} + \sqrt[3]{2x + 6} = 0\\\\(\sqrt[3]{2x - 6})^3 + (\sqrt[3]{2x + 6})^3 = 0^3\\\\(\sqrt[3]{2x - 6})^3 = (-\sqrt[3]{2x + 6})^3$