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labwork [276]
2 years ago
6

Solve the following equation

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
6 0

Answer: \frac{- 1}{11}

Step-by-step explanation:

Note: the "." symbol stands for multiplication

Given,

\frac{2x+4}{3} \\  - \frac{5x-7}{2} = 5

First we the LCM = 6,

\frac{2(2x+4)}{2.3} - \frac{3(5x-7)}{3.2}= 5

Then, we join both sides, since they have same denominator

\frac{2(2x+4) - 3(5x-7)}{6} = 5

Multiply again

\frac{4x+8 - 15x+21}{6} = 5

Add the same numbers

\frac{-11x + 29}{6} = 5

Transpose 6 to the other side

-11x + 29 = 5.6

-11x + 29 = 30

Transpose 29 to the other side

-11x = 30 -29

-11x = 1

Transpose 11 to the other side to get answer

x = \frac{-1}{11}

Hope it helps! If you have any doubts, feel free to ask

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