3(5m+1)=2(4m-3)

Solution for 3(5m+1)=2(4m-3) equation:

Simplifying
3(5m + 1) = 2(4m + -3)

Reorder the terms:
3(1 + 5m) = 2(4m + -3)
(1 * 3 + 5m * 3) = 2(4m + -3)
(3 + 15m) = 2(4m + -3)

Reorder the terms:
3 + 15m = 2(-3 + 4m)
3 + 15m = (-3 * 2 + 4m * 2)
3 + 15m = (-6 + 8m)

Solving
3 + 15m = -6 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
3 + 15m + -8m = -6 + 8m + -8m

Combine like terms: 15m + -8m = 7m
3 + 7m = -6 + 8m + -8m

Combine like terms: 8m + -8m = 0
3 + 7m = -6 + 0
3 + 7m = -6

Add '-3' to each side of the equation.
3 + -3 + 7m = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 7m = -6 + -3
7m = -6 + -3

Combine like terms: -6 + -3 = -9
7m = -9

Divide each side by '7'.
m = -1.285714286

Simplifying
m = -1.285714286