11-3(a-2)=6+a

Solution for 11-3(a-2)=6+a equation:

Simplifying
11 + -3(a + -2) = 6 + a

Reorder the terms:
11 + -3(-2 + a) = 6 + a
11 + (-2 * -3 + a * -3) = 6 + a
11 + (6 + -3a) = 6 + a

Combine like terms: 11 + 6 = 17
17 + -3a = 6 + a

Solving
17 + -3a = 6 + a

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.
17 + -3a + -1a = 6 + a + -1a

Combine like terms: -3a + -1a = -4a
17 + -4a = 6 + a + -1a

Combine like terms: a + -1a = 0
17 + -4a = 6 + 0
17 + -4a = 6

Add '-17' to each side of the equation.
17 + -17 + -4a = 6 + -17

Combine like terms: 17 + -17 = 0
0 + -4a = 6 + -17
-4a = 6 + -17

Combine like terms: 6 + -17 = -11
-4a = -11

Divide each side by '-4'.
a = 2.75

Simplifying
a = 2.75