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

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

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

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

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

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

Combine like terms: -6 + 12 = 6
6 + 3x + -4x = x + 3 + -1(x + -2)

Combine like terms: 3x + -4x = -1x
6 + -1x = x + 3 + -1(x + -2)

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

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

Combine like terms: 3 + 2 = 5
6 + -1x = 5 + x + -1x

Combine like terms: x + -1x = 0
6 + -1x = 5 + 0
6 + -1x = 5

Solving
6 + -1x = 5

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 = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 5 + -6
-1x = 5 + -6

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1