3(m+2)=5(m-58)

Solution for 3(m+2)=5(m-58) equation:

Simplifying
3(m + 2) = 5(m + -58)

Reorder the terms:
3(2 + m) = 5(m + -58)
(2 * 3 + m * 3) = 5(m + -58)
(6 + 3m) = 5(m + -58)

Reorder the terms:
6 + 3m = 5(-58 + m)
6 + 3m = (-58 * 5 + m * 5)
6 + 3m = (-290 + 5m)

Solving
6 + 3m = -290 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
6 + 3m + -5m = -290 + 5m + -5m

Combine like terms: 3m + -5m = -2m
6 + -2m = -290 + 5m + -5m

Combine like terms: 5m + -5m = 0
6 + -2m = -290 + 0
6 + -2m = -290

Add '-6' to each side of the equation.
6 + -6 + -2m = -290 + -6

Combine like terms: 6 + -6 = 0
0 + -2m = -290 + -6
-2m = -290 + -6

Combine like terms: -290 + -6 = -296
-2m = -296

Divide each side by '-2'.
m = 148

Simplifying
m = 148