x-2(x-1)-3(x-1)=4(x-1)-5(x-1)

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Solution for x-2(x-1)-3(x-1)=4(x-1)-5(x-1) equation: 


Simplifying
x + -2(x + -1) + -3(x + -1) = 4(x + -1) + -5(x + -1)

Reorder the terms:
x + -2(-1 + x) + -3(x + -1) = 4(x + -1) + -5(x + -1)
x + (-1 * -2 + x * -2) + -3(x + -1) = 4(x + -1) + -5(x + -1)
x + (2 + -2x) + -3(x + -1) = 4(x + -1) + -5(x + -1)

Reorder the terms:
x + 2 + -2x + -3(-1 + x) = 4(x + -1) + -5(x + -1)
x + 2 + -2x + (-1 * -3 + x * -3) = 4(x + -1) + -5(x + -1)
x + 2 + -2x + (3 + -3x) = 4(x + -1) + -5(x + -1)

Reorder the terms:
2 + 3 + x + -2x + -3x = 4(x + -1) + -5(x + -1)

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

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

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

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

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

Reorder the terms:
5 + -4x = -4 + 5 + 4x + -5x

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

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

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

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

Combine like terms: -1x + x = 0
5 + -3x = 1 + 0
5 + -3x = 1

Add '-5' to each side of the equation.
5 + -5 + -3x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 1 + -5
-3x = 1 + -5

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

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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