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

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


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

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

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

Combine like terms: 10 + -15 = -5
-5 + -2x + 1x = 1

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

Solving
-5 + -1x = 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 + 5 + -1x = 1 + 5

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

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

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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