(X-15)-(10-2x)=1

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Solution for (X-15)-(10-2x)=1 equation: 


Simplifying
(X + -15) + -1(10 + -2x) = 1

Reorder the terms:
(-15 + X) + -1(10 + -2x) = 1

Remove parenthesis around (-15 + X)
-15 + X + -1(10 + -2x) = 1
-15 + X + (10 * -1 + -2x * -1) = 1
-15 + X + (-10 + 2x) = 1

Reorder the terms:
-15 + -10 + X + 2x = 1

Combine like terms: -15 + -10 = -25
-25 + X + 2x = 1

Solving
-25 + X + 2x = 1

Solving for variable 'X'.

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

Add '25' to each side of the equation.
-25 + X + 25 + 2x = 1 + 25

Reorder the terms:
-25 + 25 + X + 2x = 1 + 25

Combine like terms: -25 + 25 = 0
0 + X + 2x = 1 + 25
X + 2x = 1 + 25

Combine like terms: 1 + 25 = 26
X + 2x = 26

Add '-2x' to each side of the equation.
X + 2x + -2x = 26 + -2x

Combine like terms: 2x + -2x = 0
X + 0 = 26 + -2x
X = 26 + -2x

Simplifying
X = 26 + -2x

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