Question

Find the value for x.

Answer 1

Answer:  x = -13

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Work Shown:

19 = 38/2

19 & 1/2 = 19 + 1/2

19 & 1/2 = 38/2 + 1/2

19 & 1/2 = (38+1)/2

19 & 1/2 = 39/2

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In the original equation, replace the "19 & 1/2" with "39/2" to get

(5/2)x + (1/2)x = 39/2 + (9/2)x

Each term involves a fraction with a denominator of 2. If we multiply both sides by the common denominator, then the fractions will cancel out

For example: 2*(5/2)x = (10/2)x = 5x

So after multiplying both sides by 2, you should have this new equation

5x + 1x = 39 + 9x

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Let's solve that latest equation for x

5x + 1x = 39 + 9x

6x = 39 + 9x

6x-9x = 39 + 9x-9x ... subtract 9x from both sides

-3x = 39

-3x/(-3) = 39/(-3) .... divide both sides by -3

x = -13