3x-2(1-x)=-5(x-2)-8

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Solution for 3x-2(1-x)=-5(x-2)-8 equation:


Simplifying
3x + -2(1 + -1x) = -5(x + -2) + -8
3x + (1 * -2 + -1x * -2) = -5(x + -2) + -8
3x + (-2 + 2x) = -5(x + -2) + -8

Reorder the terms:
-2 + 3x + 2x = -5(x + -2) + -8

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

Reorder the terms:
-2 + 5x = -5(-2 + x) + -8
-2 + 5x = (-2 * -5 + x * -5) + -8
-2 + 5x = (10 + -5x) + -8

Reorder the terms:
-2 + 5x = 10 + -8 + -5x

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

Solving
-2 + 5x = 2 + -5x

Solving for variable 'x'.

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

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

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

Combine like terms: -5x + 5x = 0
-2 + 10x = 2 + 0
-2 + 10x = 2

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

Combine like terms: -2 + 2 = 0
0 + 10x = 2 + 2
10x = 2 + 2

Combine like terms: 2 + 2 = 4
10x = 4

Divide each side by '10'.
x = 0.4

Simplifying
x = 0.4

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