4(a+1)=2(a-3)-(a+5)

Solution for 4(a+1)=2(a-3)-(a+5) equation:

Simplifying
4(a + 1) = 2(a + -3) + -1(a + 5)

Reorder the terms:
4(1 + a) = 2(a + -3) + -1(a + 5)
(1 * 4 + a * 4) = 2(a + -3) + -1(a + 5)
(4 + 4a) = 2(a + -3) + -1(a + 5)

Reorder the terms:
4 + 4a = 2(-3 + a) + -1(a + 5)
4 + 4a = (-3 * 2 + a * 2) + -1(a + 5)
4 + 4a = (-6 + 2a) + -1(a + 5)

Reorder the terms:
4 + 4a = -6 + 2a + -1(5 + a)
4 + 4a = -6 + 2a + (5 * -1 + a * -1)
4 + 4a = -6 + 2a + (-5 + -1a)

Reorder the terms:
4 + 4a = -6 + -5 + 2a + -1a

Combine like terms: -6 + -5 = -11
4 + 4a = -11 + 2a + -1a

Combine like terms: 2a + -1a = 1a
4 + 4a = -11 + 1a

Solving
4 + 4a = -11 + 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.
4 + 4a + -1a = -11 + 1a + -1a

Combine like terms: 4a + -1a = 3a
4 + 3a = -11 + 1a + -1a

Combine like terms: 1a + -1a = 0
4 + 3a = -11 + 0
4 + 3a = -11

Add '-4' to each side of the equation.
4 + -4 + 3a = -11 + -4

Combine like terms: 4 + -4 = 0
0 + 3a = -11 + -4
3a = -11 + -4

Combine like terms: -11 + -4 = -15
3a = -15

Divide each side by '3'.
a = -5

Simplifying
a = -5