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

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

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

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

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

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

Combine like terms: -12 + 12 = 0
0 + 3x + -4x = x + -3(x + -2)
3x + -4x = x + -3(x + -2)

Combine like terms: 3x + -4x = -1x
-1x = x + -3(x + -2)

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

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

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

Solving
-1x = 6 + -2x

Solving for variable 'x'.

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

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

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

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

Divide each side by '1'.
x = 6

Simplifying
x = 6