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

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

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

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

Reorder the terms:
-4 + 2x + -3(-3 + x) = 4(x + -4)
-4 + 2x + (-3 * -3 + x * -3) = 4(x + -4)
-4 + 2x + (9 + -3x) = 4(x + -4)

Reorder the terms:
-4 + 9 + 2x + -3x = 4(x + -4)

Combine like terms: -4 + 9 = 5
5 + 2x + -3x = 4(x + -4)

Combine like terms: 2x + -3x = -1x
5 + -1x = 4(x + -4)

Reorder the terms:
5 + -1x = 4(-4 + x)
5 + -1x = (-4 * 4 + x * 4)
5 + -1x = (-16 + 4x)

Solving
5 + -1x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + -1x + -4x = -16 + 4x + -4x

Combine like terms: -1x + -4x = -5x
5 + -5x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -5x = -16 + 0
5 + -5x = -16

Add '-5' to each side of the equation.
5 + -5 + -5x = -16 + -5

Combine like terms: 5 + -5 = 0
0 + -5x = -16 + -5
-5x = -16 + -5

Combine like terms: -16 + -5 = -21
-5x = -21

Divide each side by '-5'.
x = 4.2

Simplifying
x = 4.2