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

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


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

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

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

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

Combine like terms: 2 + 6 = 8
8 + 2x + -12x = 2(4 + -5x)

Combine like terms: 2x + -12x = -10x
8 + -10x = 2(4 + -5x)
8 + -10x = (4 * 2 + -5x * 2)
8 + -10x = (8 + -10x)

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

Combine like terms: 8 + -8 = 0
0 + -10x = 8 + -8 + -10x
-10x = 8 + -8 + -10x

Combine like terms: 8 + -8 = 0
-10x = 0 + -10x
-10x = -10x

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

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

Combine like terms: -10x + 10x = 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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