x+(x+2)+(x+4)+(x+6)+(x+8)=230

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Solution for x+(x+2)+(x+4)+(x+6)+(x+8)=230 equation:


Simplifying
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 230

Reorder the terms:
x + (2 + x) + (x + 4) + (x + 6) + (x + 8) = 230

Remove parenthesis around (2 + x)
x + 2 + x + (x + 4) + (x + 6) + (x + 8) = 230

Reorder the terms:
x + 2 + x + (4 + x) + (x + 6) + (x + 8) = 230

Remove parenthesis around (4 + x)
x + 2 + x + 4 + x + (x + 6) + (x + 8) = 230

Reorder the terms:
x + 2 + x + 4 + x + (6 + x) + (x + 8) = 230

Remove parenthesis around (6 + x)
x + 2 + x + 4 + x + 6 + x + (x + 8) = 230

Reorder the terms:
x + 2 + x + 4 + x + 6 + x + (8 + x) = 230

Remove parenthesis around (8 + x)
x + 2 + x + 4 + x + 6 + x + 8 + x = 230

Reorder the terms:
2 + 4 + 6 + 8 + x + x + x + x + x = 230

Combine like terms: 2 + 4 = 6
6 + 6 + 8 + x + x + x + x + x = 230

Combine like terms: 6 + 6 = 12
12 + 8 + x + x + x + x + x = 230

Combine like terms: 12 + 8 = 20
20 + x + x + x + x + x = 230

Combine like terms: x + x = 2x
20 + 2x + x + x + x = 230

Combine like terms: 2x + x = 3x
20 + 3x + x + x = 230

Combine like terms: 3x + x = 4x
20 + 4x + x = 230

Combine like terms: 4x + x = 5x
20 + 5x = 230

Solving
20 + 5x = 230

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 5x = 230 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = 230 + -20
5x = 230 + -20

Combine like terms: 230 + -20 = 210
5x = 210

Divide each side by '5'.
x = 42

Simplifying
x = 42

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