X+(x+8)+(x+16)+(x+24)+(x+32)=150

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Solution for X+(x+8)+(x+16)+(x+24)+(x+32)=150 equation:


Simplifying
X + (x + 8) + (x + 16) + (x + 24) + (x + 32) = 150

Reorder the terms:
X + (8 + x) + (x + 16) + (x + 24) + (x + 32) = 150

Remove parenthesis around (8 + x)
X + 8 + x + (x + 16) + (x + 24) + (x + 32) = 150

Reorder the terms:
X + 8 + x + (16 + x) + (x + 24) + (x + 32) = 150

Remove parenthesis around (16 + x)
X + 8 + x + 16 + x + (x + 24) + (x + 32) = 150

Reorder the terms:
X + 8 + x + 16 + x + (24 + x) + (x + 32) = 150

Remove parenthesis around (24 + x)
X + 8 + x + 16 + x + 24 + x + (x + 32) = 150

Reorder the terms:
X + 8 + x + 16 + x + 24 + x + (32 + x) = 150

Remove parenthesis around (32 + x)
X + 8 + x + 16 + x + 24 + x + 32 + x = 150

Reorder the terms:
8 + 16 + 24 + 32 + X + x + x + x + x = 150

Combine like terms: 8 + 16 = 24
24 + 24 + 32 + X + x + x + x + x = 150

Combine like terms: 24 + 24 = 48
48 + 32 + X + x + x + x + x = 150

Combine like terms: 48 + 32 = 80
80 + X + x + x + x + x = 150

Combine like terms: x + x = 2x
80 + X + 2x + x + x = 150

Combine like terms: 2x + x = 3x
80 + X + 3x + x = 150

Combine like terms: 3x + x = 4x
80 + X + 4x = 150

Solving
80 + X + 4x = 150

Solving for variable 'X'.

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

Add '-80' to each side of the equation.
80 + X + -80 + 4x = 150 + -80

Reorder the terms:
80 + -80 + X + 4x = 150 + -80

Combine like terms: 80 + -80 = 0
0 + X + 4x = 150 + -80
X + 4x = 150 + -80

Combine like terms: 150 + -80 = 70
X + 4x = 70

Add '-4x' to each side of the equation.
X + 4x + -4x = 70 + -4x

Combine like terms: 4x + -4x = 0
X + 0 = 70 + -4x
X = 70 + -4x

Simplifying
X = 70 + -4x

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