5a+[3b+(-2a+4b)]=

Solution for 5a+[3b+(-2a+4b)]= equation:

Simplifying
5a + [3b + (-2a + 4b)] = 0

Remove parenthesis around (-2a + 4b)
5a + [3b + -2a + 4b] = 0

Reorder the terms:
5a + [-2a + 3b + 4b] = 0

Combine like terms: 3b + 4b = 7b
5a + [-2a + 7b] = 0

Remove brackets around [-2a + 7b]
5a + -2a + 7b = 0

Combine like terms: 5a + -2a = 3a
3a + 7b = 0

Solving
3a + 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.
3a + 7b + -7b = 0 + -7b

Combine like terms: 7b + -7b = 0
3a + 0 = 0 + -7b
3a = 0 + -7b
Remove the zero:
3a = -7b

Divide each side by '3'.
a = -2.333333333b

Simplifying
a = -2.333333333b