2(a-3)+3b=4b-2c-b

Solution for 2(a-3)+3b=4b-2c-b equation:

Simplifying
2(a + -3) + 3b = 4b + -2c + -1b

Reorder the terms:
2(-3 + a) + 3b = 4b + -2c + -1b
(-3 * 2 + a * 2) + 3b = 4b + -2c + -1b
(-6 + 2a) + 3b = 4b + -2c + -1b

Reorder the terms:
-6 + 2a + 3b = 4b + -1b + -2c

Combine like terms: 4b + -1b = 3b
-6 + 2a + 3b = 3b + -2c

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

Combine like terms: 3b + -3b = 0
-6 + 2a + 0 = 3b + -3b + -2c
-6 + 2a = 3b + -3b + -2c

Combine like terms: 3b + -3b = 0
-6 + 2a = 0 + -2c
-6 + 2a = -2c

Solving
-6 + 2a = -2c

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 2a = 6 + -2c

Combine like terms: -6 + 6 = 0
0 + 2a = 6 + -2c
2a = 6 + -2c

Divide each side by '2'.
a = 3 + -1c

Simplifying
a = 3 + -1c