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

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

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

Reorder the terms:
2(1 + -3(2 + x)) = -1
2(1 + (2 * -3 + x * -3)) = -1
2(1 + (-6 + -3x)) = -1

Combine like terms: 1 + -6 = -5
2(-5 + -3x) = -1
(-5 * 2 + -3x * 2) = -1
(-10 + -6x) = -1

Solving
-10 + -6x = -1

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + -6x = -1 + 10

Combine like terms: -10 + 10 = 0
0 + -6x = -1 + 10
-6x = -1 + 10

Combine like terms: -1 + 10 = 9
-6x = 9

Divide each side by '-6'.
x = -1.5

Simplifying
x = -1.5