(x-13)-(x-5)+22x=0

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Solution for (x-13)-(x-5)+22x=0 equation:


Simplifying
(x + -13) + -1(x + -5) + 22x = 0

Reorder the terms:
(-13 + x) + -1(x + -5) + 22x = 0

Remove parenthesis around (-13 + x)
-13 + x + -1(x + -5) + 22x = 0

Reorder the terms:
-13 + x + -1(-5 + x) + 22x = 0
-13 + x + (-5 * -1 + x * -1) + 22x = 0
-13 + x + (5 + -1x) + 22x = 0

Reorder the terms:
-13 + 5 + x + -1x + 22x = 0

Combine like terms: -13 + 5 = -8
-8 + x + -1x + 22x = 0

Combine like terms: x + -1x = 0
-8 + 0 + 22x = 0
-8 + 22x = 0

Solving
-8 + 22x = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 22x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 22x = 0 + 8
22x = 0 + 8

Combine like terms: 0 + 8 = 8
22x = 8

Divide each side by '22'.
x = 0.3636363636

Simplifying
x = 0.3636363636

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