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

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


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

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

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

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

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

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

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

Reorder the terms:
1 + 2 + 3 + x + x + x + x = x + 4

Combine like terms: 1 + 2 = 3
3 + 3 + x + x + x + x = x + 4

Combine like terms: 3 + 3 = 6
6 + x + x + x + x = x + 4

Combine like terms: x + x = 2x
6 + 2x + x + x = x + 4

Combine like terms: 2x + x = 3x
6 + 3x + x = x + 4

Combine like terms: 3x + x = 4x
6 + 4x = x + 4

Reorder the terms:
6 + 4x = 4 + x

Solving
6 + 4x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 4x + -1x = 4 + x + -1x

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

Combine like terms: x + -1x = 0
6 + 3x = 4 + 0
6 + 3x = 4

Add '-6' to each side of the equation.
6 + -6 + 3x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 4 + -6
3x = 4 + -6

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

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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