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

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

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

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

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

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

Combine like terms: -12 + 3 = -9
-9 + 4x + -3x = 2(x + -1) + -3(x + 1)

Combine like terms: 4x + -3x = 1x
-9 + 1x = 2(x + -1) + -3(x + 1)

Reorder the terms:
-9 + 1x = 2(-1 + x) + -3(x + 1)
-9 + 1x = (-1 * 2 + x * 2) + -3(x + 1)
-9 + 1x = (-2 + 2x) + -3(x + 1)

Reorder the terms:
-9 + 1x = -2 + 2x + -3(1 + x)
-9 + 1x = -2 + 2x + (1 * -3 + x * -3)
-9 + 1x = -2 + 2x + (-3 + -3x)

Reorder the terms:
-9 + 1x = -2 + -3 + 2x + -3x

Combine like terms: -2 + -3 = -5
-9 + 1x = -5 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-9 + 1x = -5 + -1x

Solving
-9 + 1x = -5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-9 + 1x + x = -5 + -1x + x

Combine like terms: 1x + x = 2x
-9 + 2x = -5 + -1x + x

Combine like terms: -1x + x = 0
-9 + 2x = -5 + 0
-9 + 2x = -5

Add '9' to each side of the equation.
-9 + 9 + 2x = -5 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = -5 + 9
2x = -5 + 9

Combine like terms: -5 + 9 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2