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

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

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

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

Combine like terms: 3 + 6 = 9
9 + -1a = 4a + 2 + -3a

Reorder the terms:
9 + -1a = 2 + 4a + -3a

Combine like terms: 4a + -3a = 1a
9 + -1a = 2 + 1a

Solving
9 + -1a = 2 + 1a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
9 + -1a + -1a = 2 + 1a + -1a

Combine like terms: -1a + -1a = -2a
9 + -2a = 2 + 1a + -1a

Combine like terms: 1a + -1a = 0
9 + -2a = 2 + 0
9 + -2a = 2

Add '-9' to each side of the equation.
9 + -9 + -2a = 2 + -9

Combine like terms: 9 + -9 = 0
0 + -2a = 2 + -9
-2a = 2 + -9

Combine like terms: 2 + -9 = -7
-2a = -7

Divide each side by '-2'.
a = 3.5

Simplifying
a = 3.5