3(m-10)+4(m-18)=10

Solution for 3(m-10)+4(m-18)=10 equation:

Simplifying
3(m + -10) + 4(m + -18) = 10

Reorder the terms:
3(-10 + m) + 4(m + -18) = 10
(-10 * 3 + m * 3) + 4(m + -18) = 10
(-30 + 3m) + 4(m + -18) = 10

Reorder the terms:
-30 + 3m + 4(-18 + m) = 10
-30 + 3m + (-18 * 4 + m * 4) = 10
-30 + 3m + (-72 + 4m) = 10

Reorder the terms:
-30 + -72 + 3m + 4m = 10

Combine like terms: -30 + -72 = -102
-102 + 3m + 4m = 10

Combine like terms: 3m + 4m = 7m
-102 + 7m = 10

Solving
-102 + 7m = 10

Solving for variable 'm'.

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

Add '102' to each side of the equation.
-102 + 102 + 7m = 10 + 102

Combine like terms: -102 + 102 = 0
0 + 7m = 10 + 102
7m = 10 + 102

Combine like terms: 10 + 102 = 112
7m = 112

Divide each side by '7'.
m = 16

Simplifying
m = 16