6(m-5)=2(m+29)

Solution for 6(m-5)=2(m+29) equation:

Simplifying
6(m + -5) = 2(m + 29)

Reorder the terms:
6(-5 + m) = 2(m + 29)
(-5 * 6 + m * 6) = 2(m + 29)
(-30 + 6m) = 2(m + 29)

Reorder the terms:
-30 + 6m = 2(29 + m)
-30 + 6m = (29 * 2 + m * 2)
-30 + 6m = (58 + 2m)

Solving
-30 + 6m = 58 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-30 + 6m + -2m = 58 + 2m + -2m

Combine like terms: 6m + -2m = 4m
-30 + 4m = 58 + 2m + -2m

Combine like terms: 2m + -2m = 0
-30 + 4m = 58 + 0
-30 + 4m = 58

Add '30' to each side of the equation.
-30 + 30 + 4m = 58 + 30

Combine like terms: -30 + 30 = 0
0 + 4m = 58 + 30
4m = 58 + 30

Combine like terms: 58 + 30 = 88
4m = 88

Divide each side by '4'.
m = 22

Simplifying
m = 22