-3m+20-7(m-3)=7m-(2m-8)-8m+5

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Solution for -3m+20-7(m-3)=7m-(2m-8)-8m+5 equation: 


Simplifying
-3m + 20 + -7(m + -3) = 7m + -1(2m + -8) + -8m + 5

Reorder the terms:
-3m + 20 + -7(-3 + m) = 7m + -1(2m + -8) + -8m + 5
-3m + 20 + (-3 * -7 + m * -7) = 7m + -1(2m + -8) + -8m + 5
-3m + 20 + (21 + -7m) = 7m + -1(2m + -8) + -8m + 5

Reorder the terms:
20 + 21 + -3m + -7m = 7m + -1(2m + -8) + -8m + 5

Combine like terms: 20 + 21 = 41
41 + -3m + -7m = 7m + -1(2m + -8) + -8m + 5

Combine like terms: -3m + -7m = -10m
41 + -10m = 7m + -1(2m + -8) + -8m + 5

Reorder the terms:
41 + -10m = 7m + -1(-8 + 2m) + -8m + 5
41 + -10m = 7m + (-8 * -1 + 2m * -1) + -8m + 5
41 + -10m = 7m + (8 + -2m) + -8m + 5

Reorder the terms:
41 + -10m = 8 + 5 + 7m + -2m + -8m

Combine like terms: 8 + 5 = 13
41 + -10m = 13 + 7m + -2m + -8m

Combine like terms: 7m + -2m = 5m
41 + -10m = 13 + 5m + -8m

Combine like terms: 5m + -8m = -3m
41 + -10m = 13 + -3m

Solving
41 + -10m = 13 + -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.
41 + -10m + 3m = 13 + -3m + 3m

Combine like terms: -10m + 3m = -7m
41 + -7m = 13 + -3m + 3m

Combine like terms: -3m + 3m = 0
41 + -7m = 13 + 0
41 + -7m = 13

Add '-41' to each side of the equation.
41 + -41 + -7m = 13 + -41

Combine like terms: 41 + -41 = 0
0 + -7m = 13 + -41
-7m = 13 + -41

Combine like terms: 13 + -41 = -28
-7m = -28

Divide each side by '-7'.
m = 4

Simplifying
m = 4

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