2m-3(m+1)+2b=3(2b-1)

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

Simplifying
2m + -3(m + 1) + 2b = 3(2b + -1)

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

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

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

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

Add '3' to each side of the equation.
-3 + 2b + 3 + -1m = -3 + 3 + 6b

Reorder the terms:
-3 + 3 + 2b + -1m = -3 + 3 + 6b

Combine like terms: -3 + 3 = 0
0 + 2b + -1m = -3 + 3 + 6b
2b + -1m = -3 + 3 + 6b

Combine like terms: -3 + 3 = 0
2b + -1m = 0 + 6b
2b + -1m = 6b

Solving
2b + -1m = 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
2b + -6b + -1m = 6b + -6b

Combine like terms: 2b + -6b = -4b
-4b + -1m = 6b + -6b

Combine like terms: 6b + -6b = 0
-4b + -1m = 0

Add 'm' to each side of the equation.
-4b + -1m + m = 0 + m

Combine like terms: -1m + m = 0
-4b + 0 = 0 + m
-4b = 0 + m
Remove the zero:
-4b = m

Divide each side by '-4'.
b = -0.25m

Simplifying
b = -0.25m