(2x-5)-(x-2)=0

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Solution for (2x-5)-(x-2)=0 equation:


Simplifying
(2x + -5) + -1(x + -2) = 0

Reorder the terms:
(-5 + 2x) + -1(x + -2) = 0

Remove parenthesis around (-5 + 2x)
-5 + 2x + -1(x + -2) = 0

Reorder the terms:
-5 + 2x + -1(-2 + x) = 0
-5 + 2x + (-2 * -1 + x * -1) = 0
-5 + 2x + (2 + -1x) = 0

Reorder the terms:
-5 + 2 + 2x + -1x = 0

Combine like terms: -5 + 2 = -3
-3 + 2x + -1x = 0

Combine like terms: 2x + -1x = 1x
-3 + 1x = 0

Solving
-3 + 1x = 0

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 = 0 + 3

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

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

Divide each side by '1'.
x = 3

Simplifying
x = 3

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