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

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

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

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

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

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

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

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

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

Solving
6 + 2x = 2 + -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 = 2 + -1x + x

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

Combine like terms: -1x + x = 0
6 + 3x = 2 + 0
6 + 3x = 2

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

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

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

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333