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

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

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

Reorder the terms:
4 + -5(2 + a) = 3(a + 1) + -1
4 + (2 * -5 + a * -5) = 3(a + 1) + -1
4 + (-10 + -5a) = 3(a + 1) + -1

Combine like terms: 4 + -10 = -6
-6 + -5a = 3(a + 1) + -1

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

Reorder the terms:
-6 + -5a = 3 + -1 + 3a

Combine like terms: 3 + -1 = 2
-6 + -5a = 2 + 3a

Solving
-6 + -5a = 2 + 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.
-6 + -5a + -3a = 2 + 3a + -3a

Combine like terms: -5a + -3a = -8a
-6 + -8a = 2 + 3a + -3a

Combine like terms: 3a + -3a = 0
-6 + -8a = 2 + 0
-6 + -8a = 2

Add '6' to each side of the equation.
-6 + 6 + -8a = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -8a = 2 + 6
-8a = 2 + 6

Combine like terms: 2 + 6 = 8
-8a = 8

Divide each side by '-8'.
a = -1

Simplifying
a = -1