(x-13)-(x-4)+2x=0

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Solution for (x-13)-(x-4)+2x=0 equation:


Simplifying
(x + -13) + -1(x + -4) + 2x = 0

Reorder the terms:
(-13 + x) + -1(x + -4) + 2x = 0

Remove parenthesis around (-13 + x)
-13 + x + -1(x + -4) + 2x = 0

Reorder the terms:
-13 + x + -1(-4 + x) + 2x = 0
-13 + x + (-4 * -1 + x * -1) + 2x = 0
-13 + x + (4 + -1x) + 2x = 0

Reorder the terms:
-13 + 4 + x + -1x + 2x = 0

Combine like terms: -13 + 4 = -9
-9 + x + -1x + 2x = 0

Combine like terms: x + -1x = 0
-9 + 0 + 2x = 0
-9 + 2x = 0

Solving
-9 + 2x = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 0 + 9
2x = 0 + 9

Combine like terms: 0 + 9 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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