Question

2m+5 ÷ 3 = 3m- 10 ? Find m

Answer 1

Solution for 2m+5/3=3m-10 equation:

m in (-oo:+oo)

2*m+5/3 = 3*m-10 // - 3*m-10

2*m-(3*m)+5/3+10 = 0

2*m-3*m+5/3+10 = 0

35/3-m = 0 // - 35/3

-m = -35/3 // * -1

m = 35/3

m = 35/3

Answer 2

The value of m = 5

GIVEN:- 2m+5 ÷ 3 = 3m- 10

TO FIND:- the value of m

SOLUTION:-

• The sum In RHS is 2m + 5 which is divided by 3 and in LHS 3m -10
• We are aware that RHS = LHS

According to the question,

$\frac{2m + 5}{3} = 3m - 10$

By cross multiplication

$2m + 5 = 3(3m - 10) \\ 2m + 5 = 9m - 30$

When we shift the numbers or variables from one side to another then the sign changes

$5 + 30 = 9m - 2m \\ 9m - 2m = 5 + 30 \\ 7m = 35 \\ m = \frac{35}{7} \\ m = 5$

Hence, the value of m = 5

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