9(-2x+9)=3(6x-9)

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Solution for 9(-2x+9)=3(6x-9) equation:


Simplifying
9(-2x + 9) = 3(6x + -9)

Reorder the terms:
9(9 + -2x) = 3(6x + -9)
(9 * 9 + -2x * 9) = 3(6x + -9)
(81 + -18x) = 3(6x + -9)

Reorder the terms:
81 + -18x = 3(-9 + 6x)
81 + -18x = (-9 * 3 + 6x * 3)
81 + -18x = (-27 + 18x)

Solving
81 + -18x = -27 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
81 + -18x + -18x = -27 + 18x + -18x

Combine like terms: -18x + -18x = -36x
81 + -36x = -27 + 18x + -18x

Combine like terms: 18x + -18x = 0
81 + -36x = -27 + 0
81 + -36x = -27

Add '-81' to each side of the equation.
81 + -81 + -36x = -27 + -81

Combine like terms: 81 + -81 = 0
0 + -36x = -27 + -81
-36x = -27 + -81

Combine like terms: -27 + -81 = -108
-36x = -108

Divide each side by '-36'.
x = 3

Simplifying
x = 3

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