one-third of a number x is equal to 22 less than the number. Write and solve an equation to find the number.

Mathematics

1 answer:

Debora [2.8K]3 years ago

3 0

$1 \div 3x = 22 - x$

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The expression is equivalent to $\rm2( \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\$ .

<h2 /><h2>Given that</h2>

Expression; $\rm 2(\dfrac{3}{4}x+7) -3(\dfrac{1}{2}x-5)$

<h3>We have to determine</h3>

Which expressions are equivalent to the given expression.

<h3>According to the question</h3>

Expression; $\rm 2(\dfrac{3}{4}x+7) -3(\dfrac{1}{2}x-5)$

To solve the given expression follow all the steps given below.

By applying the distributive property of multiplication;

$\rm a(b+c) = ab+ac$

Then,

The equivalent expression is,

$\rm 2(\dfrac{3}{4}x+7) -3(\dfrac{1}{2}x-5)\\
\\
\rm (2 \times \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\
\\
2( \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\$