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3 years ago

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Can you solve the equation 2/3(4x-5)=8 by using the Division Property of Equality? Explain.

1 answer:

Nata [24]3 years ago

3 0

To solve for X you need to simplify both sides on the equation
<span><span><span>23</span><span>(<span><span>4x</span>−5</span>)</span></span>=8

</span><span><span><span><span>(<span>23</span>)</span><span>(<span>4x</span>)</span></span>+<span><span>(<span>23</span>)</span><span>(<span>−5</span>)</span></span></span>=8 *</span>Distribute*

<span><span><span><span>8/3</span>x</span>+<span><span>−10/</span>3</span></span>=<span>8

after that you add 10/3 on both sides

</span></span><span><span><span><span><span>8/3</span>x</span>+<span><span>−10/</span>3</span></span>+10/3</span>=<span>8+10/3</span></span><span><span><span>8/3</span>x</span>=<span>34/<span>3

finally multiply 3/8 on both sides
</span></span></span><span><span>(<span>3/8</span>) x </span><span>(<span><span>8/3</span>x</span>)</span></span>=<span><span>(<span>3/8</span>) x </span><span>(<span>34/3</span><span>)

and your answer should be
X= 17/4
</span></span></span>

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Step-by-step explanation:

Given the expression

$x\left(2x+3\right)$

solving

$x\left(2x+3\right)$

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