4a+10-(-6+3a)=12

Solution for 4a+10-(-6+3a)=12 equation:

Simplifying
4a + 10 + -1(-6 + 3a) = 12
4a + 10 + (-6 * -1 + 3a * -1) = 12
4a + 10 + (6 + -3a) = 12

Reorder the terms:
10 + 6 + 4a + -3a = 12

Combine like terms: 10 + 6 = 16
16 + 4a + -3a = 12

Combine like terms: 4a + -3a = 1a
16 + 1a = 12

Solving
16 + 1a = 12

Solving for variable 'a'.

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

Add '-16' to each side of the equation.
16 + -16 + 1a = 12 + -16

Combine like terms: 16 + -16 = 0
0 + 1a = 12 + -16
1a = 12 + -16

Combine like terms: 12 + -16 = -4
1a = -4

Divide each side by '1'.
a = -4

Simplifying
a = -4