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

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

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

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

Reorder the terms:
4 + 4m + -3(1 + 2m) = -3(m + -5) + 2
4 + 4m + (1 * -3 + 2m * -3) = -3(m + -5) + 2
4 + 4m + (-3 + -6m) = -3(m + -5) + 2

Reorder the terms:
4 + -3 + 4m + -6m = -3(m + -5) + 2

Combine like terms: 4 + -3 = 1
1 + 4m + -6m = -3(m + -5) + 2

Combine like terms: 4m + -6m = -2m
1 + -2m = -3(m + -5) + 2

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

Reorder the terms:
1 + -2m = 15 + 2 + -3m

Combine like terms: 15 + 2 = 17
1 + -2m = 17 + -3m

Solving
1 + -2m = 17 + -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 + -2m + 3m = 17 + -3m + 3m

Combine like terms: -2m + 3m = 1m
1 + 1m = 17 + -3m + 3m

Combine like terms: -3m + 3m = 0
1 + 1m = 17 + 0
1 + 1m = 17

Add '-1' to each side of the equation.
1 + -1 + 1m = 17 + -1

Combine like terms: 1 + -1 = 0
0 + 1m = 17 + -1
1m = 17 + -1

Combine like terms: 17 + -1 = 16
1m = 16

Divide each side by '1'.
m = 16

Simplifying
m = 16