(5a+12b)-(4a-2b)=

Solution for (5a+12b)-(4a-2b)= equation:

Simplifying
(5a + 12b) + -1(4a + -2b) = 0

Remove parenthesis around (5a + 12b)
5a + 12b + -1(4a + -2b) = 0
5a + 12b + (4a * -1 + -2b * -1) = 0
5a + 12b + (-4a + 2b) = 0

Reorder the terms:
5a + -4a + 12b + 2b = 0

Combine like terms: 5a + -4a = 1a
1a + 12b + 2b = 0

Combine like terms: 12b + 2b = 14b
1a + 14b = 0

Solving
1a + 14b = 0

Solving for variable 'a'.

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

Add '-14b' to each side of the equation.
1a + 14b + -14b = 0 + -14b

Combine like terms: 14b + -14b = 0
1a + 0 = 0 + -14b
1a = 0 + -14b
Remove the zero:
1a = -14b

Divide each side by '1'.
a = -14b

Simplifying
a = -14b