6(m−2)+14=3(m+2)−10

Sure, let's solve the equation step by step:

1. Distribute the numbers outside the parentheses on both sides of the equation:

   6m - 12 + 14 = 3m + 6 - 10

2. Simplify both sides of the equation:

   6m + 2 = 3m - 4

3. Subtract 3m from both sides to get all the m terms on one side:

   6m - 3m + 2 = -4

   This simplifies to:

   3m + 2 = -4

4. Subtract 2 from both sides to isolate the m term:

   3m = -4 - 2

   This simplifies to:

   3m = -6

5. Divide both sides by 3 to solve for m:

   m = -6 / 3

   This simplifies to:

   m = -2

So, the solution to the equation 6(m−2)+14=3(m+2)−10 is m = -2.