-5m+19-5(m-4)=8m-(7m-7)-6+2

Solution for -5m+19-5(m-4)=8m-(7m-7)-6+2 equation:

Simplifying
-5m + 19 + -5(m + -4) = 8m + -1(7m + -7) + -6 + 2

Reorder the terms:
-5m + 19 + -5(-4 + m) = 8m + -1(7m + -7) + -6 + 2
-5m + 19 + (-4 * -5 + m * -5) = 8m + -1(7m + -7) + -6 + 2
-5m + 19 + (20 + -5m) = 8m + -1(7m + -7) + -6 + 2

Reorder the terms:
19 + 20 + -5m + -5m = 8m + -1(7m + -7) + -6 + 2

Combine like terms: 19 + 20 = 39
39 + -5m + -5m = 8m + -1(7m + -7) + -6 + 2

Combine like terms: -5m + -5m = -10m
39 + -10m = 8m + -1(7m + -7) + -6 + 2

Reorder the terms:
39 + -10m = 8m + -1(-7 + 7m) + -6 + 2
39 + -10m = 8m + (-7 * -1 + 7m * -1) + -6 + 2
39 + -10m = 8m + (7 + -7m) + -6 + 2

Reorder the terms:
39 + -10m = 7 + -6 + 2 + 8m + -7m

Combine like terms: 7 + -6 = 1
39 + -10m = 1 + 2 + 8m + -7m

Combine like terms: 1 + 2 = 3
39 + -10m = 3 + 8m + -7m

Combine like terms: 8m + -7m = 1m
39 + -10m = 3 + 1m

Solving
39 + -10m = 3 + 1m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
39 + -10m + -1m = 3 + 1m + -1m

Combine like terms: -10m + -1m = -11m
39 + -11m = 3 + 1m + -1m

Combine like terms: 1m + -1m = 0
39 + -11m = 3 + 0
39 + -11m = 3

Add '-39' to each side of the equation.
39 + -39 + -11m = 3 + -39

Combine like terms: 39 + -39 = 0
0 + -11m = 3 + -39
-11m = 3 + -39

Combine like terms: 3 + -39 = -36
-11m = -36

Divide each side by '-11'.
m = 3.272727273

Simplifying
m = 3.272727273