X+(x+5)+(x+10)+(x+15)+(x+20)=250

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Solution for X+(x+5)+(x+10)+(x+15)+(x+20)=250 equation:


Simplifying
X + (x + 5) + (x + 10) + (x + 15) + (x + 20) = 250

Reorder the terms:
X + (5 + x) + (x + 10) + (x + 15) + (x + 20) = 250

Remove parenthesis around (5 + x)
X + 5 + x + (x + 10) + (x + 15) + (x + 20) = 250

Reorder the terms:
X + 5 + x + (10 + x) + (x + 15) + (x + 20) = 250

Remove parenthesis around (10 + x)
X + 5 + x + 10 + x + (x + 15) + (x + 20) = 250

Reorder the terms:
X + 5 + x + 10 + x + (15 + x) + (x + 20) = 250

Remove parenthesis around (15 + x)
X + 5 + x + 10 + x + 15 + x + (x + 20) = 250

Reorder the terms:
X + 5 + x + 10 + x + 15 + x + (20 + x) = 250

Remove parenthesis around (20 + x)
X + 5 + x + 10 + x + 15 + x + 20 + x = 250

Reorder the terms:
5 + 10 + 15 + 20 + X + x + x + x + x = 250

Combine like terms: 5 + 10 = 15
15 + 15 + 20 + X + x + x + x + x = 250

Combine like terms: 15 + 15 = 30
30 + 20 + X + x + x + x + x = 250

Combine like terms: 30 + 20 = 50
50 + X + x + x + x + x = 250

Combine like terms: x + x = 2x
50 + X + 2x + x + x = 250

Combine like terms: 2x + x = 3x
50 + X + 3x + x = 250

Combine like terms: 3x + x = 4x
50 + X + 4x = 250

Solving
50 + X + 4x = 250

Solving for variable 'X'.

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

Add '-50' to each side of the equation.
50 + X + -50 + 4x = 250 + -50

Reorder the terms:
50 + -50 + X + 4x = 250 + -50

Combine like terms: 50 + -50 = 0
0 + X + 4x = 250 + -50
X + 4x = 250 + -50

Combine like terms: 250 + -50 = 200
X + 4x = 200

Add '-4x' to each side of the equation.
X + 4x + -4x = 200 + -4x

Combine like terms: 4x + -4x = 0
X + 0 = 200 + -4x
X = 200 + -4x

Simplifying
X = 200 + -4x

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