For what value of the variable will the values of the expression 2m-13 and m+3 be equal?

m = 16

Step-by-step explanation:

Given expression 2m-13 and m+3.

We have to find value of m for which both the expression are equal.

To find that value we will equate both the expression and solve as given below

2m-13 = m+3

adding 13 on both LHS and RHS

2m-13 + 13 = m+3 + 13

=> 2m = m + 16

subtracting m from LHS and RHS

2m - m = m + 16 - m

=> m = 16

Thus, value of m will be 16.

to validate this lets put value of m as 16 in both the equation

2m - 13 = 2*16 - 13 = 32-13 = 19

m+3 = 16+3 = 19.

Thus, we see for m = 16, both expression has equal value which is equal to 19.