4a-(a+6)=13-5

Solution for 4a-(a+6)=13-5 equation:

Simplifying
4a + -1(a + 6) = 13 + -5

Reorder the terms:
4a + -1(6 + a) = 13 + -5
4a + (6 * -1 + a * -1) = 13 + -5
4a + (-6 + -1a) = 13 + -5

Reorder the terms:
-6 + 4a + -1a = 13 + -5

Combine like terms: 4a + -1a = 3a
-6 + 3a = 13 + -5

Combine like terms: 13 + -5 = 8
-6 + 3a = 8

Solving
-6 + 3a = 8

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + 6 + 3a = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 3a = 8 + 6
3a = 8 + 6

Combine like terms: 8 + 6 = 14
3a = 14

Divide each side by '3'.
a = 4.666666667

Simplifying
a = 4.666666667