(2x-11)-(x-15)=1

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Solution for (2x-11)-(x-15)=1 equation:


Simplifying
(2x + -11) + -1(x + -15) = 1

Reorder the terms:
(-11 + 2x) + -1(x + -15) = 1

Remove parenthesis around (-11 + 2x)
-11 + 2x + -1(x + -15) = 1

Reorder the terms:
-11 + 2x + -1(-15 + x) = 1
-11 + 2x + (-15 * -1 + x * -1) = 1
-11 + 2x + (15 + -1x) = 1

Reorder the terms:
-11 + 15 + 2x + -1x = 1

Combine like terms: -11 + 15 = 4
4 + 2x + -1x = 1

Combine like terms: 2x + -1x = 1x
4 + 1x = 1

Solving
4 + 1x = 1

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 1x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 1 + -4
1x = 1 + -4

Combine like terms: 1 + -4 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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