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

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


Simplifying
2(x + -3) + -1(5x + 1) + 2(2 + -1x) + -1(3x + -1) = 0

Reorder the terms:
2(-3 + x) + -1(5x + 1) + 2(2 + -1x) + -1(3x + -1) = 0
(-3 * 2 + x * 2) + -1(5x + 1) + 2(2 + -1x) + -1(3x + -1) = 0
(-6 + 2x) + -1(5x + 1) + 2(2 + -1x) + -1(3x + -1) = 0

Reorder the terms:
-6 + 2x + -1(1 + 5x) + 2(2 + -1x) + -1(3x + -1) = 0
-6 + 2x + (1 * -1 + 5x * -1) + 2(2 + -1x) + -1(3x + -1) = 0
-6 + 2x + (-1 + -5x) + 2(2 + -1x) + -1(3x + -1) = 0
-6 + 2x + -1 + -5x + (2 * 2 + -1x * 2) + -1(3x + -1) = 0
-6 + 2x + -1 + -5x + (4 + -2x) + -1(3x + -1) = 0

Reorder the terms:
-6 + 2x + -1 + -5x + 4 + -2x + -1(-1 + 3x) = 0
-6 + 2x + -1 + -5x + 4 + -2x + (-1 * -1 + 3x * -1) = 0
-6 + 2x + -1 + -5x + 4 + -2x + (1 + -3x) = 0

Reorder the terms:
-6 + -1 + 4 + 1 + 2x + -5x + -2x + -3x = 0

Combine like terms: -6 + -1 = -7
-7 + 4 + 1 + 2x + -5x + -2x + -3x = 0

Combine like terms: -7 + 4 = -3
-3 + 1 + 2x + -5x + -2x + -3x = 0

Combine like terms: -3 + 1 = -2
-2 + 2x + -5x + -2x + -3x = 0

Combine like terms: 2x + -5x = -3x
-2 + -3x + -2x + -3x = 0

Combine like terms: -3x + -2x = -5x
-2 + -5x + -3x = 0

Combine like terms: -5x + -3x = -8x
-2 + -8x = 0

Solving
-2 + -8x = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -8x = 0 + 2

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

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

Divide each side by '-8'.
x = -0.25

Simplifying
x = -0.25

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