x+(x+1)+(x+2)+(x+3)+(x+4)=106

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Solution for x+(x+1)+(x+2)+(x+3)+(x+4)=106 equation:


Simplifying
x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 106

Reorder the terms:
x + (1 + x) + (x + 2) + (x + 3) + (x + 4) = 106

Remove parenthesis around (1 + x)
x + 1 + x + (x + 2) + (x + 3) + (x + 4) = 106

Reorder the terms:
x + 1 + x + (2 + x) + (x + 3) + (x + 4) = 106

Remove parenthesis around (2 + x)
x + 1 + x + 2 + x + (x + 3) + (x + 4) = 106

Reorder the terms:
x + 1 + x + 2 + x + (3 + x) + (x + 4) = 106

Remove parenthesis around (3 + x)
x + 1 + x + 2 + x + 3 + x + (x + 4) = 106

Reorder the terms:
x + 1 + x + 2 + x + 3 + x + (4 + x) = 106

Remove parenthesis around (4 + x)
x + 1 + x + 2 + x + 3 + x + 4 + x = 106

Reorder the terms:
1 + 2 + 3 + 4 + x + x + x + x + x = 106

Combine like terms: 1 + 2 = 3
3 + 3 + 4 + x + x + x + x + x = 106

Combine like terms: 3 + 3 = 6
6 + 4 + x + x + x + x + x = 106

Combine like terms: 6 + 4 = 10
10 + x + x + x + x + x = 106

Combine like terms: x + x = 2x
10 + 2x + x + x + x = 106

Combine like terms: 2x + x = 3x
10 + 3x + x + x = 106

Combine like terms: 3x + x = 4x
10 + 4x + x = 106

Combine like terms: 4x + x = 5x
10 + 5x = 106

Solving
10 + 5x = 106

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 5x = 106 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 106 + -10
5x = 106 + -10

Combine like terms: 106 + -10 = 96
5x = 96

Divide each side by '5'.
x = 19.2

Simplifying
x = 19.2

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