4[5-(3m+10)]-2=2(3+m)

Solution for 4[5-(3m+10)]-2=2(3+m) equation:

Simplifying
4[5 + -1(3m + 10)] + -2 = 2(3 + m)

Reorder the terms:
4[5 + -1(10 + 3m)] + -2 = 2(3 + m)
4[5 + (10 * -1 + 3m * -1)] + -2 = 2(3 + m)
4[5 + (-10 + -3m)] + -2 = 2(3 + m)

Combine like terms: 5 + -10 = -5
4[-5 + -3m] + -2 = 2(3 + m)
[-5 * 4 + -3m * 4] + -2 = 2(3 + m)
[-20 + -12m] + -2 = 2(3 + m)

Reorder the terms:
-20 + -2 + -12m = 2(3 + m)

Combine like terms: -20 + -2 = -22
-22 + -12m = 2(3 + m)
-22 + -12m = (3 * 2 + m * 2)
-22 + -12m = (6 + 2m)

Solving
-22 + -12m = 6 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-22 + -12m + -2m = 6 + 2m + -2m

Combine like terms: -12m + -2m = -14m
-22 + -14m = 6 + 2m + -2m

Combine like terms: 2m + -2m = 0
-22 + -14m = 6 + 0
-22 + -14m = 6

Add '22' to each side of the equation.
-22 + 22 + -14m = 6 + 22

Combine like terms: -22 + 22 = 0
0 + -14m = 6 + 22
-14m = 6 + 22

Combine like terms: 6 + 22 = 28
-14m = 28

Divide each side by '-14'.
m = -2

Simplifying
m = -2