(2a-3b)-(3a+4b)=0

Solution for (2a-3b)-(3a+4b)=0 equation:

Simplifying
(2a + -3b) + -1(3a + 4b) = 0

Remove parenthesis around (2a + -3b)
2a + -3b + -1(3a + 4b) = 0
2a + -3b + (3a * -1 + 4b * -1) = 0
2a + -3b + (-3a + -4b) = 0

Reorder the terms:
2a + -3a + -3b + -4b = 0

Combine like terms: 2a + -3a = -1a
-1a + -3b + -4b = 0

Combine like terms: -3b + -4b = -7b
-1a + -7b = 0

Solving
-1a + -7b = 0

Solving for variable 'a'.

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

Add '7b' to each side of the equation.
-1a + -7b + 7b = 0 + 7b

Combine like terms: -7b + 7b = 0
-1a + 0 = 0 + 7b
-1a = 0 + 7b
Remove the zero:
-1a = 7b

Divide each side by '-1'.
a = -7b

Simplifying
a = -7b