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

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

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

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

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

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

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

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

Solving
-6 + -5x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + -5x + -3x = 2 + 3x + -3x

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

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

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

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

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

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

Simplifying
x = -1