What value of x makes the equation true?

Mathematics

1 answer:

Rasek [7]3 years ago

3 0

<em>Greetings from Brasil...</em>

Let's add all the values on one side and make it equal to the sum of all the other values on the other side

(- X) + (- X) + (- X) + (- X) + (- X) + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = X + X + X + (- 1) + (- 1) + (- 1) + (- 1) + (- 1) + (- 1) + (- 1) + (- 1)

- 5X + 12 = 3X - 8

- 5X - 3X = - 8 - 12

- 8X = - 20 x(- 1)

8X = 20

X = 20/8

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After 75% increase followed by a 33 1/2% decrease the net increased is 16.375%.

<u>Solution:</u>

Need to determine net percentage increase or decrease when a value is increased by 75% and then decreased by $33 \frac{1}{2} \%$ that is 33.5%.

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$\begin{array}{l}{33.5 \% \text { decrease means } 1.75 x-33.5 \% \text { of } 1.75 x=1.75 x-\frac{33.5}{100} \times 1.75 x} \\\\ {=1.75 x-(0.335 \times 1.75) x=1.75 x-0.58625 x} \\\\ {=1.16375 x}\end{array}$