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in Linear Equations by (56.3k points)

Solve the equation and also check your results:

5(7x+5)/3 – 23/3 = 13 – (4x-2)/3

1 Answer

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Best answer

5(7x+5)/3 – 23/3 = 13 – (4x-2)/3

By rearranging

(35x + 25)/3 + (4x – 2)/3 = 13 + 23/3

(35x + 25 + 4x – 2)/3 = (39+23)/3

(39x + 23)/3 = 62/3

By cross-multiplying

(39x + 23)3 = 62(3)

39x + 23 = 62

39x = 62 – 23

39x = 39

x = 1

Let us verify the given equation now,

5(7x+5)/3 – 23/3 = 13 – (4x-2)/3

By substituting the value of ‘x’ we get,

(35x + 25)/3 – 23/3 = 13 – (4x-2)/3

(35+25)/3 – 23/3 = 13 – (4-2)/3

60/3 – 23/3 = 13 – 2/3

(60-23)/3 = (39-2)/3

37/3 = 37/3

1 = 1

Hence, the given equation is verified.

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