3(x+1)-(x-9)+(x+3)=(x+4)+(x+2)-(11-x)

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Solution for 3(x+1)-(x-9)+(x+3)=(x+4)+(x+2)-(11-x) equation:


Simplifying
3(x + 1) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2) + -1(11 + -1x)

Reorder the terms:
3(1 + x) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2) + -1(11 + -1x)
(1 * 3 + x * 3) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2) + -1(11 + -1x)
(3 + 3x) + -1(x + -9) + (x + 3) = (x + 4) + (x + 2) + -1(11 + -1x)

Reorder the terms:
3 + 3x + -1(-9 + x) + (x + 3) = (x + 4) + (x + 2) + -1(11 + -1x)
3 + 3x + (-9 * -1 + x * -1) + (x + 3) = (x + 4) + (x + 2) + -1(11 + -1x)
3 + 3x + (9 + -1x) + (x + 3) = (x + 4) + (x + 2) + -1(11 + -1x)

Reorder the terms:
3 + 3x + 9 + -1x + (3 + x) = (x + 4) + (x + 2) + -1(11 + -1x)

Remove parenthesis around (3 + x)
3 + 3x + 9 + -1x + 3 + x = (x + 4) + (x + 2) + -1(11 + -1x)

Reorder the terms:
3 + 9 + 3 + 3x + -1x + x = (x + 4) + (x + 2) + -1(11 + -1x)

Combine like terms: 3 + 9 = 12
12 + 3 + 3x + -1x + x = (x + 4) + (x + 2) + -1(11 + -1x)

Combine like terms: 12 + 3 = 15
15 + 3x + -1x + x = (x + 4) + (x + 2) + -1(11 + -1x)

Combine like terms: 3x + -1x = 2x
15 + 2x + x = (x + 4) + (x + 2) + -1(11 + -1x)

Combine like terms: 2x + x = 3x
15 + 3x = (x + 4) + (x + 2) + -1(11 + -1x)

Reorder the terms:
15 + 3x = (4 + x) + (x + 2) + -1(11 + -1x)

Remove parenthesis around (4 + x)
15 + 3x = 4 + x + (x + 2) + -1(11 + -1x)

Reorder the terms:
15 + 3x = 4 + x + (2 + x) + -1(11 + -1x)

Remove parenthesis around (2 + x)
15 + 3x = 4 + x + 2 + x + -1(11 + -1x)
15 + 3x = 4 + x + 2 + x + (11 * -1 + -1x * -1)
15 + 3x = 4 + x + 2 + x + (-11 + 1x)

Reorder the terms:
15 + 3x = 4 + 2 + -11 + x + x + 1x

Combine like terms: 4 + 2 = 6
15 + 3x = 6 + -11 + x + x + 1x

Combine like terms: 6 + -11 = -5
15 + 3x = -5 + x + x + 1x

Combine like terms: x + x = 2x
15 + 3x = -5 + 2x + 1x

Combine like terms: 2x + 1x = 3x
15 + 3x = -5 + 3x

Add '-3x' to each side of the equation.
15 + 3x + -3x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + 0 = -5 + 3x + -3x
15 = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 = -5 + 0
15 = -5

Solving
15 = -5

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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