(2x-9)-(x-6)=1

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Solution for (2x-9)-(x-6)=1 equation:


Simplifying
(2x + -9) + -1(x + -6) = 1

Reorder the terms:
(-9 + 2x) + -1(x + -6) = 1

Remove parenthesis around (-9 + 2x)
-9 + 2x + -1(x + -6) = 1

Reorder the terms:
-9 + 2x + -1(-6 + x) = 1
-9 + 2x + (-6 * -1 + x * -1) = 1
-9 + 2x + (6 + -1x) = 1

Reorder the terms:
-9 + 6 + 2x + -1x = 1

Combine like terms: -9 + 6 = -3
-3 + 2x + -1x = 1

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

Solving
-3 + 1x = 1

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 1x = 1 + 3

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

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

Divide each side by '1'.
x = 4

Simplifying
x = 4

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