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

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


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

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

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

Reorder the terms:
-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 = -5
-5 + X + -2x = 1

Solving
-5 + X + -2x = 1

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + X + 5 + -2x = 1 + 5

Reorder the terms:
-5 + 5 + X + -2x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + X + -2x = 1 + 5
X + -2x = 1 + 5

Combine like terms: 1 + 5 = 6
X + -2x = 6

Add '2x' to each side of the equation.
X + -2x + 2x = 6 + 2x

Combine like terms: -2x + 2x = 0
X + 0 = 6 + 2x
X = 6 + 2x

Simplifying
X = 6 + 2x

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