4(3m+5)-14=42

Solution for 4(3m+5)-14=42 equation:

Simplifying
4(3m + 5) + -14 = 42

Reorder the terms:
4(5 + 3m) + -14 = 42
(5 * 4 + 3m * 4) + -14 = 42
(20 + 12m) + -14 = 42

Reorder the terms:
20 + -14 + 12m = 42

Combine like terms: 20 + -14 = 6
6 + 12m = 42

Solving
6 + 12m = 42

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + -6 + 12m = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 12m = 42 + -6
12m = 42 + -6

Combine like terms: 42 + -6 = 36
12m = 36

Divide each side by '12'.
m = 3

Simplifying
m = 3