(2x-4)-(x-5)=18

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Solution for (2x-4)-(x-5)=18 equation:


Simplifying
(2x + -4) + -1(x + -5) = 18

Reorder the terms:
(-4 + 2x) + -1(x + -5) = 18

Remove parenthesis around (-4 + 2x)
-4 + 2x + -1(x + -5) = 18

Reorder the terms:
-4 + 2x + -1(-5 + x) = 18
-4 + 2x + (-5 * -1 + x * -1) = 18
-4 + 2x + (5 + -1x) = 18

Reorder the terms:
-4 + 5 + 2x + -1x = 18

Combine like terms: -4 + 5 = 1
1 + 2x + -1x = 18

Combine like terms: 2x + -1x = 1x
1 + 1x = 18

Solving
1 + 1x = 18

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 1x = 18 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 18 + -1
1x = 18 + -1

Combine like terms: 18 + -1 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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