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

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

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

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

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

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

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

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

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

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

Solving
-1 + 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.
-1 + 5x + -3x = -2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-1 + 2x = -2 + 0
-1 + 2x = -2

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

Combine like terms: -1 + 1 = 0
0 + 2x = -2 + 1
2x = -2 + 1

Combine like terms: -2 + 1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5