(x-6)-(2x-11)=3

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Solution for (x-6)-(2x-11)=3 equation:


Simplifying
(x + -6) + -1(2x + -11) = 3

Reorder the terms:
(-6 + x) + -1(2x + -11) = 3

Remove parenthesis around (-6 + x)
-6 + x + -1(2x + -11) = 3

Reorder the terms:
-6 + x + -1(-11 + 2x) = 3
-6 + x + (-11 * -1 + 2x * -1) = 3
-6 + x + (11 + -2x) = 3

Reorder the terms:
-6 + 11 + x + -2x = 3

Combine like terms: -6 + 11 = 5
5 + x + -2x = 3

Combine like terms: x + -2x = -1x
5 + -1x = 3

Solving
5 + -1x = 3

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 = 3 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 3 + -5
-1x = 3 + -5

Combine like terms: 3 + -5 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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