22(11-a)=a-5

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Solution for 22(11-a)=a-5 equation:


Simplifying
22(11 + -1a) = a + -5
(11 * 22 + -1a * 22) = a + -5
(242 + -22a) = a + -5

Reorder the terms:
242 + -22a = -5 + a

Solving
242 + -22a = -5 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
242 + -22a + -1a = -5 + a + -1a

Combine like terms: -22a + -1a = -23a
242 + -23a = -5 + a + -1a

Combine like terms: a + -1a = 0
242 + -23a = -5 + 0
242 + -23a = -5

Add '-242' to each side of the equation.
242 + -242 + -23a = -5 + -242

Combine like terms: 242 + -242 = 0
0 + -23a = -5 + -242
-23a = -5 + -242

Combine like terms: -5 + -242 = -247
-23a = -247

Divide each side by '-23'.
a = 10.73913043

Simplifying
a = 10.73913043

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