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

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

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

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

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

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

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

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

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

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

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

Divide each side by '-2'.
x = -3

Simplifying
x = -3