3(m-3)-4(m+3)=10

Solution for 3(m-3)-4(m+3)=10 equation:

Simplifying
3(m + -3) + -4(m + 3) = 10

Reorder the terms:
3(-3 + m) + -4(m + 3) = 10
(-3 * 3 + m * 3) + -4(m + 3) = 10
(-9 + 3m) + -4(m + 3) = 10

Reorder the terms:
-9 + 3m + -4(3 + m) = 10
-9 + 3m + (3 * -4 + m * -4) = 10
-9 + 3m + (-12 + -4m) = 10

Reorder the terms:
-9 + -12 + 3m + -4m = 10

Combine like terms: -9 + -12 = -21
-21 + 3m + -4m = 10

Combine like terms: 3m + -4m = -1m
-21 + -1m = 10

Solving
-21 + -1m = 10

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '21' to each side of the equation.
-21 + 21 + -1m = 10 + 21

Combine like terms: -21 + 21 = 0
0 + -1m = 10 + 21
-1m = 10 + 21

Combine like terms: 10 + 21 = 31
-1m = 31

Divide each side by '-1'.
m = -31

Simplifying
m = -31