2(1-x)=3(2x+4)-2(4x+5)

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Solution for 2(1-x)=3(2x+4)-2(4x+5) equation: 


Simplifying
2(1 + -1x) = 3(2x + 4) + -2(4x + 5)
(1 * 2 + -1x * 2) = 3(2x + 4) + -2(4x + 5)
(2 + -2x) = 3(2x + 4) + -2(4x + 5)

Reorder the terms:
2 + -2x = 3(4 + 2x) + -2(4x + 5)
2 + -2x = (4 * 3 + 2x * 3) + -2(4x + 5)
2 + -2x = (12 + 6x) + -2(4x + 5)

Reorder the terms:
2 + -2x = 12 + 6x + -2(5 + 4x)
2 + -2x = 12 + 6x + (5 * -2 + 4x * -2)
2 + -2x = 12 + 6x + (-10 + -8x)

Reorder the terms:
2 + -2x = 12 + -10 + 6x + -8x

Combine like terms: 12 + -10 = 2
2 + -2x = 2 + 6x + -8x

Combine like terms: 6x + -8x = -2x
2 + -2x = 2 + -2x

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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