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

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

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

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

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

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

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

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

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

Divide each side by '1'.
x = 5

Simplifying
x = 5