3(3x-9)=5x-2(-9x+1)

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Solution for 3(3x-9)=5x-2(-9x+1) equation:


Simplifying
3(3x + -9) = 5x + -2(-9x + 1)

Reorder the terms:
3(-9 + 3x) = 5x + -2(-9x + 1)
(-9 * 3 + 3x * 3) = 5x + -2(-9x + 1)
(-27 + 9x) = 5x + -2(-9x + 1)

Reorder the terms:
-27 + 9x = 5x + -2(1 + -9x)
-27 + 9x = 5x + (1 * -2 + -9x * -2)
-27 + 9x = 5x + (-2 + 18x)

Reorder the terms:
-27 + 9x = -2 + 5x + 18x

Combine like terms: 5x + 18x = 23x
-27 + 9x = -2 + 23x

Solving
-27 + 9x = -2 + 23x

Solving for variable 'x'.

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

Add '-23x' to each side of the equation.
-27 + 9x + -23x = -2 + 23x + -23x

Combine like terms: 9x + -23x = -14x
-27 + -14x = -2 + 23x + -23x

Combine like terms: 23x + -23x = 0
-27 + -14x = -2 + 0
-27 + -14x = -2

Add '27' to each side of the equation.
-27 + 27 + -14x = -2 + 27

Combine like terms: -27 + 27 = 0
0 + -14x = -2 + 27
-14x = -2 + 27

Combine like terms: -2 + 27 = 25
-14x = 25

Divide each side by '-14'.
x = -1.785714286

Simplifying
x = -1.785714286

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