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

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


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

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

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

Remove parenthesis around (4 + x)
-4 + 2x + 4 + x = (x + 3) + (x + 4) + (x + 5)

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

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

Combine like terms: 2x + x = 3x
3x = (x + 3) + (x + 4) + (x + 5)

Reorder the terms:
3x = (3 + x) + (x + 4) + (x + 5)

Remove parenthesis around (3 + x)
3x = 3 + x + (x + 4) + (x + 5)

Reorder the terms:
3x = 3 + x + (4 + x) + (x + 5)

Remove parenthesis around (4 + x)
3x = 3 + x + 4 + x + (x + 5)

Reorder the terms:
3x = 3 + x + 4 + x + (5 + x)

Remove parenthesis around (5 + x)
3x = 3 + x + 4 + x + 5 + x

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

Combine like terms: 3 + 4 = 7
3x = 7 + 5 + x + x + x

Combine like terms: 7 + 5 = 12
3x = 12 + x + x + x

Combine like terms: x + x = 2x
3x = 12 + 2x + x

Combine like terms: 2x + x = 3x
3x = 12 + 3x

Add '-3x' to each side of the equation.
3x + -3x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
0 = 12 + 0
0 = 12

Solving
0 = 12

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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