Answer :

Partially simplified, the equation says 10m + 5m = 10 + 45. Simplified further, it says 15m = 45. At this point, 45 is divided by 15 to isolate the variable. The answer is 3.

Answer:

The value of m makes the equation true is 3

Step-by-step explanation:

Given :[tex]10m=10-5(m-7)[/tex]

To Find:What value of m makes the equation true?

Solution:

Solve the given equation

[tex]\Rightarrow 10m=10-5(m-7)\\\Rightarrow 10m=10-5m+35\\\Rightarrow 10m + 5m =10+35\\\Rightarrow 15m =45\\\Rightarrow m = \frac{45}{15}\\\Rightarrow m = 3[/tex]

Hence The value of m makes the equation true is 3