Question

Find the value of the variable - [1] 3x/2 + 5 = x/3 + 10.
[2] 2(x - 3) + 5 (2x - 1) = 20.

please don't cheat just for points. I want the answer with steps​

Answer 1

Answer:

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$(1) \: \: \: \frac{3x}{2} + 5 = \frac{x}{3} + 10$

$= > \frac{3x}{2} - \frac{x}{3} = 10 - 5$

$= > \frac{9x - 2x}{6} = 5$

$= > \frac{7x}{6} = 5$

$= > 7x = 6 \times 5$

$= > 7x = 30$

$= > x = \frac{30}{7}$

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$(2) \: \: 2(x - 3) + 5(2x - 1) = 20$

$= > 2x - 6 + 10x - 5 = 20$

$= > 2x + 10x - 6 - 5 = 20$

$= > 12x - 1 = 20$

$= > 12x = 20 + 1$

$= > 12x = 21$

$= > x = \frac{21}{12}$

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Answer 2

Answer:

1. 30 / 7
2. 21 / 12 ............