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

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

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

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

Combine like terms: 4 + 2 = 6
6 + -3x + 5x = 4 + -1(x + 1)

Combine like terms: -3x + 5x = 2x
6 + 2x = 4 + -1(x + 1)

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

Combine like terms: 4 + -1 = 3
6 + 2x = 3 + -1x

Solving
6 + 2x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 2x + x = 3 + -1x + x

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

Combine like terms: -1x + x = 0
6 + 3x = 3 + 0
6 + 3x = 3

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

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

Combine like terms: 3 + -6 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1