-x+3(x+2)=1

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

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

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

Reorder the terms:
6 + -1x + 3x = 1

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

Solving
6 + 2x = 1

Solving for variable 'x'.

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

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

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

Combine like terms: 1 + -6 = -5
2x = -5

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5