Question

find the value of x in given equation
a. 3x-5=7
b. 5x-4=2x+4
c. 3(x+5)=5(x+4)
d. 2x-10=5(x-8)
e. 3x+6=3(2x-4)​

Answer 1

Answer:

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Answer 2

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To find :

The value of ‛x’ in the given equations :

$\bf \: (a) \: \: 3x - 5 = 7 \\ \bf 3x = 7 + 5 \\ \bf 3x = 12 \\ \\ \bf x = \frac{12}{3} = 4$

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$\bf (b) \: \: \: 5x - 4 = 2x + 4 \\ \bf 5x - 2x = 4 + 4 \\ \bf 3x = 8 \\ \\ \bf x = \frac{8}{3}$

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$\bf (c) \: \: \: 3(x + 5) = 5(x + 4) \\ \bf 3x + 15 = 5x + 20 \\ \bf 3x - 5x = 20 - 15 \\ \bf - 2x = 5 \\ \\ \bf x = \frac{5}{ - 2} = \frac{ - 5}{2}$

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$\bf (d) \: \: \: 2x - 10 = 5(x - 8) \\ \bf 2x - 10 = 5x - 40 \\ \bf 2x - 5x = - 40 + 10 \\ \bf - 3x = - 30 \\ \\ \bf x = \frac{ - 30}{ - 3} = 10$

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$\bf (e)~~~3x + 6 = 3(2x - 4) \\ \bf 3x + 6 = 6x - 12 \\ \bf 3x - 6x = - 12 - 6 \\ \bf - 3x = - 18 \\ \\ \bf x = \frac{ - 18}{ - 3} = 6$

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