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