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

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


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

Reorder the terms:
4 + -2x + -4(-1 + 2x) = 4(x + -1) + -3(2x + -3)
4 + -2x + (-1 * -4 + 2x * -4) = 4(x + -1) + -3(2x + -3)
4 + -2x + (4 + -8x) = 4(x + -1) + -3(2x + -3)

Reorder the terms:
4 + 4 + -2x + -8x = 4(x + -1) + -3(2x + -3)

Combine like terms: 4 + 4 = 8
8 + -2x + -8x = 4(x + -1) + -3(2x + -3)

Combine like terms: -2x + -8x = -10x
8 + -10x = 4(x + -1) + -3(2x + -3)

Reorder the terms:
8 + -10x = 4(-1 + x) + -3(2x + -3)
8 + -10x = (-1 * 4 + x * 4) + -3(2x + -3)
8 + -10x = (-4 + 4x) + -3(2x + -3)

Reorder the terms:
8 + -10x = -4 + 4x + -3(-3 + 2x)
8 + -10x = -4 + 4x + (-3 * -3 + 2x * -3)
8 + -10x = -4 + 4x + (9 + -6x)

Reorder the terms:
8 + -10x = -4 + 9 + 4x + -6x

Combine like terms: -4 + 9 = 5
8 + -10x = 5 + 4x + -6x

Combine like terms: 4x + -6x = -2x
8 + -10x = 5 + -2x

Solving
8 + -10x = 5 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8 + -10x + 2x = 5 + -2x + 2x

Combine like terms: -10x + 2x = -8x
8 + -8x = 5 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + -8x = 5 + 0
8 + -8x = 5

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

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

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

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375

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