Solve the equation and also check your results:(2x+5)/3 = 3x – 10

1.	Solve the equation and also check your results:(2x+5)/3 = 3x – 10
Answer» (2x+5)/3 = 3x – 10 Let us simplify, (2x+5)/3 – 3x = – 10 By taking LCM (2x + 5 – 9x)/3 = -10 (-7x + 5)/3 = -10 By using cross-multiplication we get, -7x + 5 = -30 -7x = -30 – 5 -7x = -35 x = -35/-7 = 5 Let us verify the given equation now, (2x+5)/3 = 3x – 10 By substituting the value of ‘x’ we get, (2×5 + 5)/3 = 3(5) – 10 (10+5)/3 = 15-10 15/3 = 5 5 = 5 Hence, the given equation is verified.

Answer»

(2x+5)/3 = 3x – 10

Let us simplify,

(2x+5)/3 – 3x = – 10

By taking LCM

(2x + 5 – 9x)/3 = -10

(-7x + 5)/3 = -10

By using cross-multiplication we get,

-7x + 5 = -30

-7x = -30 – 5

-7x = -35

x = -35/-7

= 5

Let us verify the given equation now,

(2x+5)/3 = 3x – 10

By substituting the value of ‘x’ we get,

(2×5 + 5)/3 = 3(5) – 10

(10+5)/3 = 15-10

15/3 = 5

5 = 5

Hence, the given equation is verified.

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