3(4m-1)-(7m-2)=3(m+5)

Solution for 3(4m-1)-(7m-2)=3(m+5) equation:

Simplifying
3(4m + -1) + -1(7m + -2) = 3(m + 5)

Reorder the terms:
3(-1 + 4m) + -1(7m + -2) = 3(m + 5)
(-1 * 3 + 4m * 3) + -1(7m + -2) = 3(m + 5)
(-3 + 12m) + -1(7m + -2) = 3(m + 5)

Reorder the terms:
-3 + 12m + -1(-2 + 7m) = 3(m + 5)
-3 + 12m + (-2 * -1 + 7m * -1) = 3(m + 5)
-3 + 12m + (2 + -7m) = 3(m + 5)

Reorder the terms:
-3 + 2 + 12m + -7m = 3(m + 5)

Combine like terms: -3 + 2 = -1
-1 + 12m + -7m = 3(m + 5)

Combine like terms: 12m + -7m = 5m
-1 + 5m = 3(m + 5)

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

Solving
-1 + 5m = 15 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-1 + 5m + -3m = 15 + 3m + -3m

Combine like terms: 5m + -3m = 2m
-1 + 2m = 15 + 3m + -3m

Combine like terms: 3m + -3m = 0
-1 + 2m = 15 + 0
-1 + 2m = 15

Add '1' to each side of the equation.
-1 + 1 + 2m = 15 + 1

Combine like terms: -1 + 1 = 0
0 + 2m = 15 + 1
2m = 15 + 1

Combine like terms: 15 + 1 = 16
2m = 16

Divide each side by '2'.
m = 8

Simplifying
m = 8