15-(a-6)=6-(3a+5)

Solution for 15-(a-6)=6-(3a+5) equation:

Simplifying
15 + -1(a + -6) = 6 + -1(3a + 5)

Reorder the terms:
15 + -1(-6 + a) = 6 + -1(3a + 5)
15 + (-6 * -1 + a * -1) = 6 + -1(3a + 5)
15 + (6 + -1a) = 6 + -1(3a + 5)

Combine like terms: 15 + 6 = 21
21 + -1a = 6 + -1(3a + 5)

Reorder the terms:
21 + -1a = 6 + -1(5 + 3a)
21 + -1a = 6 + (5 * -1 + 3a * -1)
21 + -1a = 6 + (-5 + -3a)

Combine like terms: 6 + -5 = 1
21 + -1a = 1 + -3a

Solving
21 + -1a = 1 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
21 + -1a + 3a = 1 + -3a + 3a

Combine like terms: -1a + 3a = 2a
21 + 2a = 1 + -3a + 3a

Combine like terms: -3a + 3a = 0
21 + 2a = 1 + 0
21 + 2a = 1

Add '-21' to each side of the equation.
21 + -21 + 2a = 1 + -21

Combine like terms: 21 + -21 = 0
0 + 2a = 1 + -21
2a = 1 + -21

Combine like terms: 1 + -21 = -20
2a = -20

Divide each side by '2'.
a = -10

Simplifying
a = -10