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

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


Simplifying
2 + -3(2 + -1x) = 2(1 + -1x) + -5
2 + (2 * -3 + -1x * -3) = 2(1 + -1x) + -5
2 + (-6 + 3x) = 2(1 + -1x) + -5

Combine like terms: 2 + -6 = -4
-4 + 3x = 2(1 + -1x) + -5
-4 + 3x = (1 * 2 + -1x * 2) + -5
-4 + 3x = (2 + -2x) + -5

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

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

Solving
-4 + 3x = -3 + -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.
-4 + 3x + 2x = -3 + -2x + 2x

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

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

Add '4' to each side of the equation.
-4 + 4 + 5x = -3 + 4

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

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

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2

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