6M-(3+4M)=(3+M)-8

Solution for 6M-(3+4M)=(3+M)-8 equation:

Simplifying
6M + -1(3 + 4M) = (3 + M) + -8
6M + (3 * -1 + 4M * -1) = (3 + M) + -8
6M + (-3 + -4M) = (3 + M) + -8

Reorder the terms:
-3 + 6M + -4M = (3 + M) + -8

Combine like terms: 6M + -4M = 2M
-3 + 2M = (3 + M) + -8

Remove parenthesis around (3 + M)
-3 + 2M = 3 + M + -8

Reorder the terms:
-3 + 2M = 3 + -8 + M

Combine like terms: 3 + -8 = -5
-3 + 2M = -5 + M

Solving
-3 + 2M = -5 + M

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.
-3 + 2M + -1M = -5 + M + -1M

Combine like terms: 2M + -1M = 1M
-3 + 1M = -5 + M + -1M

Combine like terms: M + -1M = 0
-3 + 1M = -5 + 0
-3 + 1M = -5

Add '3' to each side of the equation.
-3 + 3 + 1M = -5 + 3

Combine like terms: -3 + 3 = 0
0 + 1M = -5 + 3
1M = -5 + 3

Combine like terms: -5 + 3 = -2
1M = -2

Divide each side by '1'.
M = -2

Simplifying
M = -2