2(m-5)-2(2m+8)=-3(m+1)+2

Solution for 2(m-5)-2(2m+8)=-3(m+1)+2 equation:

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

Reorder the terms:
2(-5 + m) + -2(2m + 8) = -3(m + 1) + 2
(-5 * 2 + m * 2) + -2(2m + 8) = -3(m + 1) + 2
(-10 + 2m) + -2(2m + 8) = -3(m + 1) + 2

Reorder the terms:
-10 + 2m + -2(8 + 2m) = -3(m + 1) + 2
-10 + 2m + (8 * -2 + 2m * -2) = -3(m + 1) + 2
-10 + 2m + (-16 + -4m) = -3(m + 1) + 2

Reorder the terms:
-10 + -16 + 2m + -4m = -3(m + 1) + 2

Combine like terms: -10 + -16 = -26
-26 + 2m + -4m = -3(m + 1) + 2

Combine like terms: 2m + -4m = -2m
-26 + -2m = -3(m + 1) + 2

Reorder the terms:
-26 + -2m = -3(1 + m) + 2
-26 + -2m = (1 * -3 + m * -3) + 2
-26 + -2m = (-3 + -3m) + 2

Reorder the terms:
-26 + -2m = -3 + 2 + -3m

Combine like terms: -3 + 2 = -1
-26 + -2m = -1 + -3m

Solving
-26 + -2m = -1 + -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.
-26 + -2m + 3m = -1 + -3m + 3m

Combine like terms: -2m + 3m = 1m
-26 + 1m = -1 + -3m + 3m

Combine like terms: -3m + 3m = 0
-26 + 1m = -1 + 0
-26 + 1m = -1

Add '26' to each side of the equation.
-26 + 26 + 1m = -1 + 26

Combine like terms: -26 + 26 = 0
0 + 1m = -1 + 26
1m = -1 + 26

Combine like terms: -1 + 26 = 25
1m = 25

Divide each side by '1'.
m = 25

Simplifying
m = 25