X+(X-9)+(X-13)+(X-18)+(X-25)=320

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Solution for X+(X-9)+(X-13)+(X-18)+(X-25)=320 equation: 


Simplifying
X + (X + -9) + (X + -13) + (X + -18) + (X + -25) = 320

Reorder the terms:
X + (-9 + X) + (X + -13) + (X + -18) + (X + -25) = 320

Remove parenthesis around (-9 + X)
X + -9 + X + (X + -13) + (X + -18) + (X + -25) = 320

Reorder the terms:
X + -9 + X + (-13 + X) + (X + -18) + (X + -25) = 320

Remove parenthesis around (-13 + X)
X + -9 + X + -13 + X + (X + -18) + (X + -25) = 320

Reorder the terms:
X + -9 + X + -13 + X + (-18 + X) + (X + -25) = 320

Remove parenthesis around (-18 + X)
X + -9 + X + -13 + X + -18 + X + (X + -25) = 320

Reorder the terms:
X + -9 + X + -13 + X + -18 + X + (-25 + X) = 320

Remove parenthesis around (-25 + X)
X + -9 + X + -13 + X + -18 + X + -25 + X = 320

Reorder the terms:
-9 + -13 + -18 + -25 + X + X + X + X + X = 320

Combine like terms: -9 + -13 = -22
-22 + -18 + -25 + X + X + X + X + X = 320

Combine like terms: -22 + -18 = -40
-40 + -25 + X + X + X + X + X = 320

Combine like terms: -40 + -25 = -65
-65 + X + X + X + X + X = 320

Combine like terms: X + X = 2X
-65 + 2X + X + X + X = 320

Combine like terms: 2X + X = 3X
-65 + 3X + X + X = 320

Combine like terms: 3X + X = 4X
-65 + 4X + X = 320

Combine like terms: 4X + X = 5X
-65 + 5X = 320

Solving
-65 + 5X = 320

Solving for variable 'X'.

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

Add '65' to each side of the equation.
-65 + 65 + 5X = 320 + 65

Combine like terms: -65 + 65 = 0
0 + 5X = 320 + 65
5X = 320 + 65

Combine like terms: 320 + 65 = 385
5X = 385

Divide each side by '5'.
X = 77

Simplifying
X = 77

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