5(x-9)-6=22x-204

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Solution for 5(x-9)-6=22x-204 equation:


Simplifying
5(x + -9) + -6 = 22x + -204

Reorder the terms:
5(-9 + x) + -6 = 22x + -204
(-9 * 5 + x * 5) + -6 = 22x + -204
(-45 + 5x) + -6 = 22x + -204

Reorder the terms:
-45 + -6 + 5x = 22x + -204

Combine like terms: -45 + -6 = -51
-51 + 5x = 22x + -204

Reorder the terms:
-51 + 5x = -204 + 22x

Solving
-51 + 5x = -204 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-51 + 5x + -22x = -204 + 22x + -22x

Combine like terms: 5x + -22x = -17x
-51 + -17x = -204 + 22x + -22x

Combine like terms: 22x + -22x = 0
-51 + -17x = -204 + 0
-51 + -17x = -204

Add '51' to each side of the equation.
-51 + 51 + -17x = -204 + 51

Combine like terms: -51 + 51 = 0
0 + -17x = -204 + 51
-17x = -204 + 51

Combine like terms: -204 + 51 = -153
-17x = -153

Divide each side by '-17'.
x = 9

Simplifying
x = 9

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