3(m+4)=7(m)

Solution for 3(m+4)=7(m) equation:

Simplifying
3(m + 4) = 7(m)

Reorder the terms:
3(4 + m) = 7(m)
(4 * 3 + m * 3) = 7(m)
(12 + 3m) = 7(m)

Solving
12 + 3m = 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
12 + 3m + -7m = 7m + -7m

Combine like terms: 3m + -7m = -4m
12 + -4m = 7m + -7m

Combine like terms: 7m + -7m = 0
12 + -4m = 0

Add '-12' to each side of the equation.
12 + -12 + -4m = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -4m = 0 + -12
-4m = 0 + -12

Combine like terms: 0 + -12 = -12
-4m = -12

Divide each side by '-4'.
m = 3

Simplifying
m = 3