5(m+3)=3(3m-1)

Solution for 5(m+3)=3(3m-1) equation:

Simplifying
5(m + 3) = 3(3m + -1)

Reorder the terms:
5(3 + m) = 3(3m + -1)
(3 * 5 + m * 5) = 3(3m + -1)
(15 + 5m) = 3(3m + -1)

Reorder the terms:
15 + 5m = 3(-1 + 3m)
15 + 5m = (-1 * 3 + 3m * 3)
15 + 5m = (-3 + 9m)

Solving
15 + 5m = -3 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
15 + 5m + -9m = -3 + 9m + -9m

Combine like terms: 5m + -9m = -4m
15 + -4m = -3 + 9m + -9m

Combine like terms: 9m + -9m = 0
15 + -4m = -3 + 0
15 + -4m = -3

Add '-15' to each side of the equation.
15 + -15 + -4m = -3 + -15

Combine like terms: 15 + -15 = 0
0 + -4m = -3 + -15
-4m = -3 + -15

Combine like terms: -3 + -15 = -18
-4m = -18

Divide each side by '-4'.
m = 4.5

Simplifying
m = 4.5