b*2-(b-3)=a*3+(a-3)

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

Simplifying
b * 2 + -1(b + -3) = a * 3 + (a + -3)

Reorder the terms for easier multiplication:
2b + -1(b + -3) = a * 3 + (a + -3)

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

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

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

Reorder the terms for easier multiplication:
3 + 1b = 3a + (a + -3)

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

Remove parenthesis around (-3 + a)
3 + 1b = 3a + -3 + a

Reorder the terms:
3 + 1b = -3 + 3a + a

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

Solving
3 + 1b = -3 + 4a

Solving for variable 'b'.

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

Add '-3' to each side of the equation.
3 + -3 + 1b = -3 + -3 + 4a

Combine like terms: 3 + -3 = 0
0 + 1b = -3 + -3 + 4a
1b = -3 + -3 + 4a

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

Divide each side by '1'.
b = -6 + 4a

Simplifying
b = -6 + 4a