2(x-3)-3(x-4)=1

Solution for 2(x-3)-3(x-4)=1 equation:

Simplifying
2(x + -3) + -3(x + -4) = 1

Reorder the terms:
2(-3 + x) + -3(x + -4) = 1
(-3 * 2 + x * 2) + -3(x + -4) = 1
(-6 + 2x) + -3(x + -4) = 1

Reorder the terms:
-6 + 2x + -3(-4 + x) = 1
-6 + 2x + (-4 * -3 + x * -3) = 1
-6 + 2x + (12 + -3x) = 1

Reorder the terms:
-6 + 12 + 2x + -3x = 1

Combine like terms: -6 + 12 = 6
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