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

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


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

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

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

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

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

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

Reorder the terms:
-5 + -1x = 4(-2 + x)
-5 + -1x = (-2 * 4 + x * 4)
-5 + -1x = (-8 + 4x)

Solving
-5 + -1x = -8 + 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 = -8 + 4x + -4x

Combine like terms: -1x + -4x = -5x
-5 + -5x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -5x = -8 + 0
-5 + -5x = -8

Add '5' to each side of the equation.
-5 + 5 + -5x = -8 + 5

Combine like terms: -5 + 5 = 0
0 + -5x = -8 + 5
-5x = -8 + 5

Combine like terms: -8 + 5 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

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