(4a+6)-(-3a+2)=

Solution for (4a+6)-(-3a+2)= equation:

Simplifying
(4a + 6) + -1(-3a + 2) = 0

Reorder the terms:
(6 + 4a) + -1(-3a + 2) = 0

Remove parenthesis around (6 + 4a)
6 + 4a + -1(-3a + 2) = 0

Reorder the terms:
6 + 4a + -1(2 + -3a) = 0
6 + 4a + (2 * -1 + -3a * -1) = 0
6 + 4a + (-2 + 3a) = 0

Reorder the terms:
6 + -2 + 4a + 3a = 0

Combine like terms: 6 + -2 = 4
4 + 4a + 3a = 0

Combine like terms: 4a + 3a = 7a
4 + 7a = 0

Solving
4 + 7a = 0

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + -4 + 7a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7a = 0 + -4
7a = 0 + -4

Combine like terms: 0 + -4 = -4
7a = -4

Divide each side by '7'.
a = -0.5714285714

Simplifying
a = -0.5714285714